Pith Number

pith:ESF4HRJK

pith:2014:ESF4HRJKP5672NZX3BU5QEOMOD

not attested not anchored not stored refs pending

Liftable vector fields over corank one multigerms

M. A. S. Ruas, R. Oset Sinha, R. Wik Atique, T. Nishimura

arxiv:1408.3825 v2 · 2014-08-17 · math.AG · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESF4HRJKP5672NZX3BU5QEOMOD}

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	2026-05-18T00:12:41.103300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248bc3c52a7f7dfd3737d869d811cc70c13f2bf0a6cc02eb3a6e6859fbbff5d7

Aliases

arxiv: 1408.3825 · arxiv_version: 1408.3825v2 · doi: 10.48550/arxiv.1408.3825 · pith_short_12: ESF4HRJKP567 · pith_short_16: ESF4HRJKP5672NZX · pith_short_8: ESF4HRJK

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/ESF4HRJKP5672NZX3BU5QEOMOD \
  | 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: 248bc3c52a7f7dfd3737d869d811cc70c13f2bf0a6cc02eb3a6e6859fbbff5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbd3b56a9e6f902679b0a841a4fd81b431adf5145c6d2739c13f0353bc9c1dc",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-17T14:10:10Z",
    "title_canon_sha256": "a9f5a3405541e71fac9f2cea11c56f6aa91ea70a4e09977451bb93332d5c0a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3825",
    "kind": "arxiv",
    "version": 2
  }
}