Pith Number

pith:E3HM4QWG

pith:2012:E3HM4QWGM4DRRBA3HVBI2DZXVN

not attested not anchored not stored refs pending

Frankel Conjecture and Sasaki geometry

Song Sun, Weiyong He

arxiv:1202.2589 v2 · 2012-02-13 · 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{E3HM4QWGM4DRRBA3HVBI2DZXVN}

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	2026-05-18T01:19:39.176031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cece42c6670718841b3d428d0f37ab793e85f7a86eb0207720b99d18efe4da

Aliases

arxiv: 1202.2589 · arxiv_version: 1202.2589v2 · doi: 10.48550/arxiv.1202.2589 · pith_short_12: E3HM4QWGM4DR · pith_short_16: E3HM4QWGM4DRRBA3 · pith_short_8: E3HM4QWG

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/E3HM4QWGM4DRRBA3HVBI2DZXVN \
  | 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: 26cece42c6670718841b3d428d0f37ab793e85f7a86eb0207720b99d18efe4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3dc0fd34c6ca41a2ed1b9d8f1e9e943beac621b936d4723b047b6c51313bdd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-13T00:01:23Z",
    "title_canon_sha256": "67699c6ac65026eab70fcb326280caefdee795dfcfb9c622a5de74e3f4279ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2589",
    "kind": "arxiv",
    "version": 2
  }
}