Pith Number

pith:JY57YERG

pith:2005:JY57YERGMDSGK3W5LY7U6RJCPX

not attested not anchored not stored refs pending

The first Pontryagin class

Paul Bressler

arxiv:math/0509563 v2 · 2005-09-23 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY57YERGMDSGK3W5LY7U6RJCPX}

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	2026-07-04T14:50:38.607914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e3bfc122660e4656edd5e3f4f45227dc5e1b9770e6471cc5320815d1ec2e2e4

Aliases

arxiv: math/0509563 · arxiv_version: math/0509563v2 · doi: 10.48550/arxiv.math/0509563 · pith_short_12: JY57YERGMDSG · pith_short_16: JY57YERGMDSGK3W5 · pith_short_8: JY57YERG

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/JY57YERGMDSGK3W5LY7U6RJCPX \
  | 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: 4e3bfc122660e4656edd5e3f4f45227dc5e1b9770e6471cc5320815d1ec2e2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22431a6d0849c73c62b47359299f7084aea5f9d5c2b0c1a540f7a3f5a8d3c71f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-09-23T16:17:48Z",
    "title_canon_sha256": "a03f7956bf2923aec7f0393a4e0d9341d5d771ae355dcf5e7b1573f1c09ea2b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509563",
    "kind": "arxiv",
    "version": 2
  }
}