Pith Number

pith:4JK6UZGN

pith:2017:4JK6UZGNSAGW3NI6IRFIWDUKIN

not attested not anchored not stored refs pending

Dirac Equation in the Presence of a Gravitational Background: Temporal Non Commutative Framework and Vierbein Formalism

Abolfazl Jafari

arxiv:1701.08763 v3 · 2017-01-30 · 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{4JK6UZGNSAGW3NI6IRFIWDUKIN}

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.

Receipt and verification

First computed	2026-05-18T00:37:47.977927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e255ea64cd900d6db51e444a8b0e8a43430192d1dd8c5ccdb95372b22e6957f0

Aliases

arxiv: 1701.08763 · arxiv_version: 1701.08763v3 · doi: 10.48550/arxiv.1701.08763 · pith_short_12: 4JK6UZGNSAGW · pith_short_16: 4JK6UZGNSAGW3NI6 · pith_short_8: 4JK6UZGN

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/4JK6UZGNSAGW3NI6IRFIWDUKIN \
  | 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: e255ea64cd900d6db51e444a8b0e8a43430192d1dd8c5ccdb95372b22e6957f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfe474b713f4b72cf05dd78214c1a3c1caac4bf379c0eb9ddf5b56fef613122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-01-30T13:40:41Z",
    "title_canon_sha256": "9bdcfc956f6a33911fb2baf22c11f161abc4aa8c8d4eebfea3dfe427f712f4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08763",
    "kind": "arxiv",
    "version": 3
  }
}