Pith Number

pith:YFGX6A4B

pith:2013:YFGX6A4B2XETGJFQKP56BIZZ6V

not attested not anchored not stored refs pending

The classification of totally umbilical surfaces in homogeneous 3-manifolds

Jos\'e M. Manzano, Rabah Souam

arxiv:1302.2876 v2 · 2013-02-12 · 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{YFGX6A4B2XETGJFQKP56BIZZ6V}

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	2026-05-18T02:26:02.940659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14d7f0381d5c93324b053fbe0a339f556eb421755a3014f2da89a63f39b02df

Aliases

arxiv: 1302.2876 · arxiv_version: 1302.2876v2 · doi: 10.48550/arxiv.1302.2876 · pith_short_12: YFGX6A4B2XET · pith_short_16: YFGX6A4B2XETGJFQ · pith_short_8: YFGX6A4B

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/YFGX6A4B2XETGJFQKP56BIZZ6V \
  | 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: c14d7f0381d5c93324b053fbe0a339f556eb421755a3014f2da89a63f39b02df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "373a84404f1eb7ee4bfd826dc0a7ff2abeb3fd441f563dcb27bf6d77eb633904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-12T17:53:46Z",
    "title_canon_sha256": "29b400f8e732d44e486eaef7b028ff4f621546eb9d43a66a3ba2ba3ead849051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2876",
    "kind": "arxiv",
    "version": 2
  }
}