Pith Number

pith:IQ45OEKZ

pith:2007:IQ45OEKZX6WN4SA3DAGW3TBCGD

not attested not anchored not stored refs pending

Yang-Mills theory over surfaces and the Atiyah-Segal theorem

Daniel A. Ramras

arxiv:0710.0681 v5 · 2007-10-03 · math.AT · math.DG · 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{IQ45OEKZX6WN4SA3DAGW3TBCGD}

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	2026-05-18T00:16:39.403813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4439d71159bfacde481b180d6dcc2230f2b513630fb2b34a7340130831862f03

Aliases

arxiv: 0710.0681 · arxiv_version: 0710.0681v5 · doi: 10.48550/arxiv.0710.0681 · pith_short_12: IQ45OEKZX6WN · pith_short_16: IQ45OEKZX6WN4SA3 · pith_short_8: IQ45OEKZ

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/IQ45OEKZX6WN4SA3DAGW3TBCGD \
  | 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: 4439d71159bfacde481b180d6dcc2230f2b513630fb2b34a7340130831862f03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9198f66838efc969b5de82b8a3bc0a951524e4a3d561fbf4f37aab6a9a6e20",
    "cross_cats_sorted": [
      "math.DG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-10-03T18:59:36Z",
    "title_canon_sha256": "3b2b817ad068f9e3ba83cba9cd903b25e970aed6cccd9db2a586bbc40f479a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0681",
    "kind": "arxiv",
    "version": 5
  }
}