Pith Number

pith:GCCUP2GW

pith:2022:GCCUP2GWG7IW7YGV5IOGZP4FSO

not attested not anchored not stored refs pending

Canonical representations of surface groups

Aaron Landesman, Daniel Litt

arxiv:2205.15352 v4 · 2022-05-30 · math.GT · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCCUP2GWG7IW7YGV5IOGZP4FSO}

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.

Cited by

1 paper in Pith

Algebraicity and integrality of solutions to differential equations

Receipt and verification

First computed	2026-07-05T10:18:30.454599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308547e8d637d16fe0d5ea1c6cbf8593874fca56f11f7fae8aafc85746647305

Aliases

arxiv: 2205.15352 · arxiv_version: 2205.15352v4 · doi: 10.48550/arxiv.2205.15352 · pith_short_12: GCCUP2GWG7IW · pith_short_16: GCCUP2GWG7IW7YGV · pith_short_8: GCCUP2GW

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/GCCUP2GWG7IW7YGV5IOGZP4FSO \
  | 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: 308547e8d637d16fe0d5ea1c6cbf8593874fca56f11f7fae8aafc85746647305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad45b13d09fb34982407d2566b2d96f387dab4399b8e2815af96059449b1c0e5",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-05-30T18:01:31Z",
    "title_canon_sha256": "6fd0705313b919a84241ab9ab47a6931a2d8fd1e3519e8d3f53e4da12f645a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15352",
    "kind": "arxiv",
    "version": 4
  }
}