Pith Number

pith:ZBZKQQ3H

pith:2011:ZBZKQQ3HHTYQSLU4CGCKVF4SXL

not attested not anchored not stored refs pending

Modular Forms and Generalized Anomaly Cancellation Formulas

Fei Han, Kefeng Liu, Weiping Zhang

arxiv:1109.2494 v1 · 2011-09-12 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBZKQQ3HHTYQSLU4CGCKVF4SXL}

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	2026-05-18T02:00:34.373858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c872a843673cf1092e9c1184aa9792baf28ccba5c40de0b6b607ec3a8579135f

Aliases

arxiv: 1109.2494 · arxiv_version: 1109.2494v1 · doi: 10.48550/arxiv.1109.2494 · pith_short_12: ZBZKQQ3HHTYQ · pith_short_16: ZBZKQQ3HHTYQSLU4 · pith_short_8: ZBZKQQ3H

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/ZBZKQQ3HHTYQSLU4CGCKVF4SXL \
  | 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: c872a843673cf1092e9c1184aa9792baf28ccba5c40de0b6b607ec3a8579135f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba0351b2b7c147b465014ff1d088d95fbbf872a09b5dd00d5352e5a0e1b6b439",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-12T15:13:35Z",
    "title_canon_sha256": "fc27098644b587a2d1340d0d36a04122b1c9d82214a0d962314b4b48fc46b09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2494",
    "kind": "arxiv",
    "version": 1
  }
}