Pith Number

pith:I57NPRQK

pith:2012:I57NPRQKURTALPN7SYB7NBOKAQ

not attested not anchored not stored refs pending

The $\hat{A}$ genus as a projective volume form on the derived loop space

Ryan Grady

arxiv:1211.6816 v3 · 2012-11-29 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I57NPRQKURTALPN7SYB7NBOKAQ}

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	2026-05-18T00:17:46.744761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477ed7c60aa46605bdbf9603f685ca041fc16a1b8a82a0903805f87d9277d96d

Aliases

arxiv: 1211.6816 · arxiv_version: 1211.6816v3 · doi: 10.48550/arxiv.1211.6816 · pith_short_12: I57NPRQKURTA · pith_short_16: I57NPRQKURTALPN7 · pith_short_8: I57NPRQK

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/I57NPRQKURTALPN7SYB7NBOKAQ \
  | 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: 477ed7c60aa46605bdbf9603f685ca041fc16a1b8a82a0903805f87d9277d96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a633a6db6c08dfd2b1f4eed4cf3f52e3fd1726456ee725592d2c021001e11a1b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-29T06:17:00Z",
    "title_canon_sha256": "aa9ea1d57ba30322033ddf82f468242f92954e3a5588fc89613556a48d2cdb53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6816",
    "kind": "arxiv",
    "version": 3
  }
}