Pith Number

pith:Z5CDCIJA

pith:2007:Z5CDCIJAQHBLNAGCMHA6RPUXXY

not attested not anchored not stored refs pending

Non-Linear Algebra and Bogolubov's Recursion

A. Morozov, M. Serbyn

arxiv:hep-th/0703258 v1 · 2007-03-28 · 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{Z5CDCIJAQHBLNAGCMHA6RPUXXY}

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	2026-07-04T15:31:45.719847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4431212081c2b680c261c1e8be97be05d11947869f696897da644f6c04fca7

Aliases

arxiv: hep-th/0703258 · arxiv_version: hep-th/0703258v1 · doi: 10.48550/arxiv.hep-th/0703258 · pith_short_12: Z5CDCIJAQHBL · pith_short_16: Z5CDCIJAQHBLNAGC · pith_short_8: Z5CDCIJA

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/Z5CDCIJAQHBLNAGCMHA6RPUXXY \
  | 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: cf4431212081c2b680c261c1e8be97be05d11947869f696897da644f6c04fca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ce2d9b93101c2a0a5999357f57beac7ab253d8f0ca8faa552bf45c170e0ccb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-28T13:47:44Z",
    "title_canon_sha256": "3c646d9792137dd077a2a765e1f2c761fd42a240296d4fbba299f1782e21435a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703258",
    "kind": "arxiv",
    "version": 1
  }
}