Pith Number

pith:JNOV7UYV

pith:2007:JNOV7UYVBR5HBHW7P3WZTSYQ5U

not attested not anchored not stored refs pending

Anomaly of linearization and auxiliary integrals

Boris Kruglikov

arxiv:0712.3497 v1 · 2007-12-20 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNOV7UYVBR5HBHW7P3WZTSYQ5U}

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	2026-05-18T00:57:18.758879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5d5fd3150c7a709edf7eed99cb10ed19e1ebbc67f72e357e2172d4e3bd6a52

Aliases

arxiv: 0712.3497 · arxiv_version: 0712.3497v1 · doi: 10.48550/arxiv.0712.3497 · pith_short_12: JNOV7UYVBR5H · pith_short_16: JNOV7UYVBR5HBHW7 · pith_short_8: JNOV7UYV

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/JNOV7UYVBR5HBHW7P3WZTSYQ5U \
  | 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: 4b5d5fd3150c7a709edf7eed99cb10ed19e1ebbc67f72e357e2172d4e3bd6a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73ac6e75516fd35dbae35e78219822500207b27a9f70dfe9f86ecc1cae597c83",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-20T16:54:08Z",
    "title_canon_sha256": "938014cab1752b065481b3b0000d7449732a2d3e2033da73bf8734d23b18072d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3497",
    "kind": "arxiv",
    "version": 1
  }
}