Pith Number

pith:ENVX62HH

pith:2004:ENVX62HHPRGISMNJG2MBM7WWGG

not attested not anchored not stored refs pending

Jacobi fields and odular structure of affine manifolds

Alexander I. Nesterov

arxiv:math/0401097 v1 · 2004-01-09 · math.DG · math-ph · math.GR · 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{ENVX62HHPRGISMNJG2MBM7WWGG}

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	2026-05-18T03:36:27.354458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236b7f68e77c4c8931a93698167ed63184a0e1b6514ec50af8ea805b8bb015bb

Aliases

arxiv: math/0401097 · arxiv_version: math/0401097v1 · doi: 10.48550/arxiv.math/0401097 · pith_short_12: ENVX62HHPRGI · pith_short_16: ENVX62HHPRGISMNJ · pith_short_8: ENVX62HH

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/ENVX62HHPRGISMNJG2MBM7WWGG \
  | 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: 236b7f68e77c4c8931a93698167ed63184a0e1b6514ec50af8ea805b8bb015bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11b4bd7e1639ac152b4e3eea46e09fdbeebd075fa140181865b37f7763a2286",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-01-09T21:50:09Z",
    "title_canon_sha256": "093d182e8207e84e143a5e542c68a23917ed4e5340dcf445e3cf64e6ca8e7a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401097",
    "kind": "arxiv",
    "version": 1
  }
}