Pith Number

pith:ACHCNFRV

pith:2015:ACHCNFRV3I6LSYT2XMGXKMWDDG

not attested not anchored not stored refs pending

Modular invariance and anomaly cancellation formulas in odd dimension

Kefeng Liu, Yong Wang

arxiv:1505.00298 v1 · 2015-05-02 · 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{ACHCNFRV3I6LSYT2XMGXKMWDDG}

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	2026-05-18T01:25:00.671630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008e269635da3cb9627abb0d7532c319994de63401b09d7156870bb0b36c6768

Aliases

arxiv: 1505.00298 · arxiv_version: 1505.00298v1 · doi: 10.48550/arxiv.1505.00298 · pith_short_12: ACHCNFRV3I6L · pith_short_16: ACHCNFRV3I6LSYT2 · pith_short_8: ACHCNFRV

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/ACHCNFRV3I6LSYT2XMGXKMWDDG \
  | 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: 008e269635da3cb9627abb0d7532c319994de63401b09d7156870bb0b36c6768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c861c7a6d0fdcb82b826e960d2ee22c62bb1e8e369928152405c59955c1d21",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-02T01:33:34Z",
    "title_canon_sha256": "c0f48327c83b852d2ee9910c965277c380d371f25712d1bfec54423bbd80ea13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00298",
    "kind": "arxiv",
    "version": 1
  }
}