Pith Number

pith:CAV7F5LE

pith:2011:CAV7F5LEBM6XXSRDFJUPMQIIBW

not attested not anchored not stored refs pending

Algebraic analogue of Atiyah's theorem

Alexander Neshitov, Alisa Knizel

arxiv:1111.4685 v1 · 2011-11-20 · 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{CAV7F5LEBM6XXSRDFJUPMQIIBW}

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	2026-05-18T04:08:02.850989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102bf2f5640b3d7bca232a68f641080dbf2b94d912d2de2073cc0587cb8f2293

Aliases

arxiv: 1111.4685 · arxiv_version: 1111.4685v1 · doi: 10.48550/arxiv.1111.4685 · pith_short_12: CAV7F5LEBM6X · pith_short_16: CAV7F5LEBM6XXSRD · pith_short_8: CAV7F5LE

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/CAV7F5LEBM6XXSRDFJUPMQIIBW \
  | 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: 102bf2f5640b3d7bca232a68f641080dbf2b94d912d2de2073cc0587cb8f2293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f699e44fa656b5d3f66e0705bbcfc44664eb10e27b24de4104212be5f5cc191c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-11-20T21:35:26Z",
    "title_canon_sha256": "cb77de266b97f236ca52a463daf4946d1548c7c1da617fa7fbc0e1fd4bcb7b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4685",
    "kind": "arxiv",
    "version": 1
  }
}