Pith Number

pith:D62NK7NX

pith:2011:D62NK7NXZ5RCNLMSNHHIJH6NAR

not attested not anchored not stored refs pending

Umbilical submanifolds of $\mathbb{S}^n\times \mathbb{R}$

Bruno Mendon\c{c}a, Ruy Tojeiro

arxiv:1107.1679 v2 · 2011-07-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D62NK7NXZ5RCNLMSNHHIJH6NAR}

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	2026-05-18T04:14:44.799027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb4d57db7cf6226ad9269ce849fcd04709578fcfec4c2b88dadf8ea0fb8a6ee

Aliases

arxiv: 1107.1679 · arxiv_version: 1107.1679v2 · doi: 10.48550/arxiv.1107.1679 · pith_short_12: D62NK7NXZ5RC · pith_short_16: D62NK7NXZ5RCNLMS · pith_short_8: D62NK7NX

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/D62NK7NXZ5RCNLMSNHHIJH6NAR \
  | 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: 1fb4d57db7cf6226ad9269ce849fcd04709578fcfec4c2b88dadf8ea0fb8a6ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814454beb0b56371910f6a3a16e7684ccc8f79934f795439a905d72ffd3dcf65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-08T17:26:41Z",
    "title_canon_sha256": "146095bc0588229959ca4bdd2818cbad518357e23d93c4b6a36043ddff594c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1679",
    "kind": "arxiv",
    "version": 2
  }
}