Pith Number

pith:5JGBCNZV

pith:2025:5JGBCNZVZ5R56OESQD63NSAUHD

not attested not anchored not stored refs pending

Schmutz-Thurston Duality

Ingrid Irmer

arxiv:2508.04587 v1 · 2025-08-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JGBCNZVZ5R56OESQD63NSAUHD}

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

Understanding the well-rounded deformation retraction of Teichm\"uller space

Receipt and verification

First computed	2026-07-05T11:49:40.154472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d

Aliases

arxiv: 2508.04587 · arxiv_version: 2508.04587v1 · doi: 10.48550/arxiv.2508.04587 · pith_short_12: 5JGBCNZVZ5R5 · pith_short_16: 5JGBCNZVZ5R56OES · pith_short_8: 5JGBCNZV

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/5JGBCNZVZ5R56OESQD63NSAUHD \
  | 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: ea4c113735cf63df389280fdb6c81438c788bafee941b67588b0421f3eed514d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0396046c66ac49c621af3eafc0dfb1c31ad0efe12571492a8a93f0200c7da8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-06T16:08:44Z",
    "title_canon_sha256": "b55e4de6c46545ebc9d19e85bdbb1d134c763b46d00b235746e5ae63943343f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04587",
    "kind": "arxiv",
    "version": 1
  }
}