Pith Number

pith:JBFBYUPG

pith:2007:JBFBYUPGM4EZBTX4ZYMAHGAKAP

not attested not anchored not stored refs pending

Representation-independent manipulations with Dirac matrices and spinors

Palash B. Pal

arxiv:physics/0703214 v4 · 2007-03-23 · physics.ed-ph · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBFBYUPGM4EZBTX4ZYMAHGAKAP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Different types of torsion and their effect on the dynamics of fields

Dark Matter Energy Deposition and Production from the Table-Top to the Cosmos

Receipt and verification

First computed	2026-05-18T02:09:52.806964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484a1c51e6670990cefcce1803980a03fd6788ca09b8afc0befacdcd5b21ee08

Aliases

arxiv: physics/0703214 · arxiv_version: physics/0703214v4 · doi: 10.48550/arxiv.physics/0703214 · pith_short_12: JBFBYUPGM4EZ · pith_short_16: JBFBYUPGM4EZBTX4 · pith_short_8: JBFBYUPG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JBFBYUPGM4EZBTX4ZYMAHGAKAP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 484a1c51e6670990cefcce1803980a03fd6788ca09b8afc0befacdcd5b21ee08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee1d6012d7f4d7cb6ad229aeb716d96969cc613c8a291cd170f4ac763f74e0c",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2007-03-23T12:17:09Z",
    "title_canon_sha256": "99fec661282517ed206c12aa5fd08854aac987a430c4a0b48a04331a9f779af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0703214",
    "kind": "arxiv",
    "version": 4
  }
}