Pith Number

pith:BMOQXCIG

pith:2011:BMOQXCIGPBTNR5AF6ABLWLHPAC

not attested not anchored not stored refs pending

Equivariant Chern numbers and the number of fixed points for unitary torus manifolds

Qiangbo Tan, Zhi L\"u

arxiv:1103.6173 v1 · 2011-03-31 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMOQXCIGPBTNR5AF6ABLWLHPAC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:54:39.466970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1d0b89067866d8f405f002bb2cef00a9f4814b004d27e6e2ebc2334712535b

Aliases

arxiv: 1103.6173 · arxiv_version: 1103.6173v1 · doi: 10.48550/arxiv.1103.6173 · pith_short_12: BMOQXCIGPBTN · pith_short_16: BMOQXCIGPBTNR5AF · pith_short_8: BMOQXCIG

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/BMOQXCIGPBTNR5AF6ABLWLHPAC \
  | 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: 0b1d0b89067866d8f405f002bb2cef00a9f4814b004d27e6e2ebc2334712535b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f988e1eb415603f48d867ab573d0eae872f0a0cc1c47978a90d034e6fb3ec968",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-03-31T13:25:23Z",
    "title_canon_sha256": "43a194af549d1fb5034285f822d670a313471a3a8a343b310fcb41da66a114eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6173",
    "kind": "arxiv",
    "version": 1
  }
}