Pith Number

pith:3RBF3TDL

pith:2011:3RBF3TDLNKYRNIXWDFB6223NIQ

not attested not anchored not stored refs pending

The Yang-Mills equations over Klein surfaces

Chiu-Chu Melissa Liu, Florent Schaffhauser

arxiv:1109.5164 v3 · 2011-09-23 · math.AT · math.AG · 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{3RBF3TDLNKYRNIXWDFB6223NIQ}

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	2026-05-18T02:30:08.903782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc425dcc6b6ab116a2f61943ed6b6d44289064eb24845f185855f19578bbc008

Aliases

arxiv: 1109.5164 · arxiv_version: 1109.5164v3 · doi: 10.48550/arxiv.1109.5164 · pith_short_12: 3RBF3TDLNKYR · pith_short_16: 3RBF3TDLNKYRNIXW · pith_short_8: 3RBF3TDL

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/3RBF3TDLNKYRNIXWDFB6223NIQ \
  | 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: dc425dcc6b6ab116a2f61943ed6b6d44289064eb24845f185855f19578bbc008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da75d462286c47cadfa80e8fa37041518edef63ca234198c1d828e0f996212d",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-23T19:23:08Z",
    "title_canon_sha256": "60ec86460e49294cae09393a3b1557b918c7ac92251e3e758c060d6d8373647a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5164",
    "kind": "arxiv",
    "version": 3
  }
}