Pith Number

pith:VSGHZ5Y5

pith:2015:VSGHZ5Y53CK2GKVHS7OA5DLR5C

not attested not anchored not stored refs pending

Teichmueller flow and Weil-Petersson flow

Ursula Hamenstaedt

arxiv:1505.01113 v1 · 2015-05-05 · 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{VSGHZ5Y53CK2GKVHS7OA5DLR5C}

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	2026-05-18T02:16:51.881281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8c7cf71dd895a32aa797dc0e8d71e8b4d0e100d7aa7e2eb8c2d225433702a5

Aliases

arxiv: 1505.01113 · arxiv_version: 1505.01113v1 · doi: 10.48550/arxiv.1505.01113 · pith_short_12: VSGHZ5Y53CK2 · pith_short_16: VSGHZ5Y53CK2GKVH · pith_short_8: VSGHZ5Y5

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/VSGHZ5Y53CK2GKVHS7OA5DLR5C \
  | 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: ac8c7cf71dd895a32aa797dc0e8d71e8b4d0e100d7aa7e2eb8c2d225433702a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3415f02d8dd0ef08209047efe2ffe864e26bc3d98802d53166b1c43e6d00cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-05T18:25:33Z",
    "title_canon_sha256": "7b3cae39b2d88bf8b35c7f7db4806bdaa233216d62e0bd42d905044114a12112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01113",
    "kind": "arxiv",
    "version": 1
  }
}