Pith Number

pith:J25RIMI3

pith:2017:J25RIMI3MLMWXMSN7FHWHIMR4F

not attested not anchored not stored refs pending

On Atiyah-Singer and Atiyah-Bott for finite abstract simplicial complexes

Oliver Knill

arxiv:1708.06070 v1 · 2017-08-21 · math.GN · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J25RIMI3MLMWXMSN7FHWHIMR4F}

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	2026-05-18T00:37:43.334681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebb14311b62d96bb24df94f63a191e1493cc5e7c6158bd90603b6f97023499a

Aliases

arxiv: 1708.06070 · arxiv_version: 1708.06070v1 · doi: 10.48550/arxiv.1708.06070 · pith_short_12: J25RIMI3MLMW · pith_short_16: J25RIMI3MLMWXMSN · pith_short_8: J25RIMI3

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/J25RIMI3MLMWXMSN7FHWHIMR4F \
  | 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: 4ebb14311b62d96bb24df94f63a191e1493cc5e7c6158bd90603b6f97023499a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22b5bd09eb0c33b874d0e1205262f7b27c98bfe747bcf4bfd09d5a9a46176e7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-08-21T03:07:21Z",
    "title_canon_sha256": "ceb6364d0920c5dd1e0d778d7e76922694cef3afc11d74b1f7a17872a11a46d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06070",
    "kind": "arxiv",
    "version": 1
  }
}