Pith Number

pith:J7CXXAAJ

pith:2010:J7CXXAAJR45DWRVPY3HZHL5UCT

not attested not anchored not stored refs pending

On totally real submanifolds

Ognian Kassabov

arxiv:1010.1645 v1 · 2010-10-08 · 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{J7CXXAAJR45DWRVPY3HZHL5UCT}

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	2026-05-18T04:39:39.995757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc57b80098f3a3b46afc6cf93afb414c16f309b557d8eb90a013849ad908eaf

Aliases

arxiv: 1010.1645 · arxiv_version: 1010.1645v1 · doi: 10.48550/arxiv.1010.1645 · pith_short_12: J7CXXAAJR45D · pith_short_16: J7CXXAAJR45DWRVP · pith_short_8: J7CXXAAJ

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/J7CXXAAJR45DWRVPY3HZHL5UCT \
  | 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: 4fc57b80098f3a3b46afc6cf93afb414c16f309b557d8eb90a013849ad908eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bb8118dfda64839f5147671a73ed44cd5cd9a55cab442e2bd5682ed19ea196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-08T10:16:51Z",
    "title_canon_sha256": "ece421e450bb04b549ea33153ebd0188f3319c12fa61245ec54c93d04007e266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1645",
    "kind": "arxiv",
    "version": 1
  }
}