Pith Number

pith:Y6GRJF7N

pith:2010:Y6GRJF7NBGVFPPS6MREDE5FQBZ

not attested not anchored not stored refs pending

Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials

Anton Zorich

arxiv:1011.0395 v1 · 2010-11-01 · math.GT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6GRJF7NBGVFPPS6MREDE5FQBZ}

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	2026-05-18T02:55:11.655072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c78d1497ed09aa57be5e64483274b00e489d589613309f8ce87acf40fa57761a

Aliases

arxiv: 1011.0395 · arxiv_version: 1011.0395v1 · doi: 10.48550/arxiv.1011.0395 · pith_short_12: Y6GRJF7NBGVF · pith_short_16: Y6GRJF7NBGVFPPS6 · pith_short_8: Y6GRJF7N

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/Y6GRJF7NBGVFPPS6MREDE5FQBZ \
  | 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: c78d1497ed09aa57be5e64483274b00e489d589613309f8ce87acf40fa57761a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829bb55564ac2c1b67617b862c26b0ec4b62271441d6e17d54f1877ff2b5e64b",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-01T17:48:35Z",
    "title_canon_sha256": "c7449ed70cc4296de8adf1c515c5cbfea3e13eb276a584afb3ff83e9133551c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0395",
    "kind": "arxiv",
    "version": 1
  }
}