Pith Number

pith:PHYVP2XG

pith:2011:PHYVP2XGVMBGVTAJNJOQE2ZUAJ

not attested not anchored not stored refs pending

Derived Equivalence in Surface Algebras of Genus 0 via Graded Equivalence

Lucas David-Roesler

arxiv:1111.4657 v2 · 2011-11-20 · math.RT · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHYVP2XGVMBGVTAJNJOQE2ZUAJ}

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	2026-05-18T03:53:44.979854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f157eae6ab026acc096a5d026b340269f0e8dd19cabdc4257ea95ac15d1308

Aliases

arxiv: 1111.4657 · arxiv_version: 1111.4657v2 · doi: 10.48550/arxiv.1111.4657 · pith_short_12: PHYVP2XGVMBG · pith_short_16: PHYVP2XGVMBGVTAJ · pith_short_8: PHYVP2XG

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/PHYVP2XGVMBGVTAJNJOQE2ZUAJ \
  | 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: 79f157eae6ab026acc096a5d026b340269f0e8dd19cabdc4257ea95ac15d1308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07871ce1c23b5be2a92fe10547397df875b683c962d6f214bfd815e92a038ebf",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-20T17:47:46Z",
    "title_canon_sha256": "a142460aa9bf67b58a12ee97a1a78e01df2d243fb439348a546150be6e495b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4657",
    "kind": "arxiv",
    "version": 2
  }
}