Pith Number

pith:37V4CWWJ

pith:2013:37V4CWWJRBWTXRQELEKKSENY7A

not attested not anchored not stored refs pending

Lowerable vector fields for a finitely L-determined multigerm

Takashi Nishimura, Yusuke Mizota

arxiv:1312.7044 v2 · 2013-12-26 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37V4CWWJRBWTXRQELEKKSENY7A}

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	2026-05-18T02:42:53.891724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfebc15ac9886d3bc6045914a911b8f815559a0178c28395533122f2cc166581

Aliases

arxiv: 1312.7044 · arxiv_version: 1312.7044v2 · doi: 10.48550/arxiv.1312.7044 · pith_short_12: 37V4CWWJRBWT · pith_short_16: 37V4CWWJRBWTXRQE · pith_short_8: 37V4CWWJ

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/37V4CWWJRBWTXRQELEKKSENY7A \
  | 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: dfebc15ac9886d3bc6045914a911b8f815559a0178c28395533122f2cc166581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30bf06c90973582c5c608b063132c7ba26a584d7a7f34122f501ac5c9b9acd3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-26T03:06:08Z",
    "title_canon_sha256": "e0ea5704209907145379f3f981358a8197aa6d55455b928a43ca463d90f6a998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7044",
    "kind": "arxiv",
    "version": 2
  }
}