Pith Number

pith:RAERYOLA

pith:2004:RAERYOLABVCI7F52A3Q333TT7X

not attested not anchored not stored refs pending

Twisted $K$-theory

Graeme Segal, Michael Atiyah

arxiv:math/0407054 v2 · 2004-07-05 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAERYOLABVCI7F52A3Q333TT7X}

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.

Cited by

1 paper in Pith

Higher Gauge Theory via Differential Nonabelian Cohomology

Receipt and verification

First computed	2026-07-04T14:50:06.213656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88091c39600d448f97ba06e1bdee73fdecd35b316827db0a7a5a92cc6258ff1a

Aliases

arxiv: math/0407054 · arxiv_version: math/0407054v2 · doi: 10.48550/arxiv.math/0407054 · pith_short_12: RAERYOLABVCI · pith_short_16: RAERYOLABVCI7F52 · pith_short_8: RAERYOLA

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/RAERYOLABVCI7F52A3Q333TT7X \
  | 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: 88091c39600d448f97ba06e1bdee73fdecd35b316827db0a7a5a92cc6258ff1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c1b082223215467fd2f1c97a12232712c22860983144886e778a657e02b615",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2004-07-05T11:56:05Z",
    "title_canon_sha256": "9482f7a6541b73303c15f824b9d94fc03ace68b3449bb29f8099ddc20f6f85c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407054",
    "kind": "arxiv",
    "version": 2
  }
}