Pith Number

pith:KQKFEYJB

pith:2002:KQKFEYJBEKJ4BH5SMS6NJQSVZD

not attested not anchored not stored refs pending

Shadow world evaluation of the Yang-Mills measure

Charles Frohman, Joanna Kania-Bartoszynska

arxiv:math/0205193 v2 · 2002-05-17 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQKFEYJBEKJ4BH5SMS6NJQSVZD}

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	2026-05-18T02:41:33.037917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54145261212293c09fb264bcd4c255c8c4e0a7e99907fdc122b2d91ab1959652

Aliases

arxiv: math/0205193 · arxiv_version: math/0205193v2 · doi: 10.48550/arxiv.math/0205193 · pith_short_12: KQKFEYJBEKJ4 · pith_short_16: KQKFEYJBEKJ4BH5S · pith_short_8: KQKFEYJB

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/KQKFEYJBEKJ4BH5SMS6NJQSVZD \
  | 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: 54145261212293c09fb264bcd4c255c8c4e0a7e99907fdc122b2d91ab1959652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9739045fbd0d764300d1d767acc27fdfa6b7c4f11e2ba1b0e59cc748dc8f5f89",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-05-17T15:13:51Z",
    "title_canon_sha256": "9ea05346daf56f44e2a8a2018252a8063270af8afdbf85f6750d53169e1efd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205193",
    "kind": "arxiv",
    "version": 2
  }
}