Pith Number

pith:A7GHKPA6

pith:2011:A7GHKPA6GMGCTEDT5LNTC45XS2

not attested not anchored not stored refs pending

$HS_{r}$-valued Gauss maps and umbilic spacelike surfaces of codimension two

Dang Van Cuong, Doan The Hieu

arxiv:1102.2527 v2 · 2011-02-12 · 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{A7GHKPA6GMGCTEDT5LNTC45XS2}

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	2026-05-18T04:28:36.435669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07cc753c1e330c299073eadb3173b796ad6124895c9f226f8d5220fdae72063c

Aliases

arxiv: 1102.2527 · arxiv_version: 1102.2527v2 · doi: 10.48550/arxiv.1102.2527 · pith_short_12: A7GHKPA6GMGC · pith_short_16: A7GHKPA6GMGCTEDT · pith_short_8: A7GHKPA6

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/A7GHKPA6GMGCTEDT5LNTC45XS2 \
  | 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: 07cc753c1e330c299073eadb3173b796ad6124895c9f226f8d5220fdae72063c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708579bdd538819b139944fa84960e93102191397a19efc456f144be763183af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-12T16:21:12Z",
    "title_canon_sha256": "59ca86459bf3cf2a19caf14f4ed53a36724bb974c7dbf3dcb910ddd9ebe957b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2527",
    "kind": "arxiv",
    "version": 2
  }
}