Pith Number

pith:NJVHCNVU

pith:2008:NJVHCNVUQEUEXLWN4CVHU34HE7

not attested not anchored not stored refs pending

Discrete phase space - II: The second quantization of free relativistic wave fields

A. Das

arxiv:0811.0853 v1 · 2008-11-06 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJVHCNVUQEUEXLWN4CVHU34HE7}

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	2026-07-04T17:31:26.460720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6a7136b481284baecde0aa7a6f8727cfa293418ecc47d4baf7c5b883a156d7

Aliases

arxiv: 0811.0853 · arxiv_version: 0811.0853v1 · doi: 10.48550/arxiv.0811.0853 · pith_short_12: NJVHCNVUQEUE · pith_short_16: NJVHCNVUQEUEXLWN · pith_short_8: NJVHCNVU

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/NJVHCNVUQEUEXLWN4CVHU34HE7 \
  | 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: 6a6a7136b481284baecde0aa7a6f8727cfa293418ecc47d4baf7c5b883a156d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b02228aab611270d80f188897bb3d8aa14fcd860c8aef942e61d20b0797a8a4",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-06T01:39:24Z",
    "title_canon_sha256": "d5526174db90298114dc1e92933d879880cfb46553f16fd37a3ab7d486e0f8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0853",
    "kind": "arxiv",
    "version": 1
  }
}