Pith Number

pith:WWSRF57N

pith:2008:WWSRF57NFUBXR6ZFI43QAHLCOA

not attested not anchored not stored refs pending

Divergence of Teichmueller Geodesics

Anna Lenzhen, Howard Masur

arxiv:0803.1867 v3 · 2008-03-12 · 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{WWSRF57NFUBXR6ZFI43QAHLCOA}

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	2026-05-18T04:34:46.435767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a512f7ed2d0378fb254737001d6270262a9ad28c3937b29cdd571a1cda5767

Aliases

arxiv: 0803.1867 · arxiv_version: 0803.1867v3 · doi: 10.48550/arxiv.0803.1867 · pith_short_12: WWSRF57NFUBX · pith_short_16: WWSRF57NFUBXR6ZF · pith_short_8: WWSRF57N

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/WWSRF57NFUBXR6ZFI43QAHLCOA \
  | 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: b5a512f7ed2d0378fb254737001d6270262a9ad28c3937b29cdd571a1cda5767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d53021456294827dc8fb1cc025d213938760a98a035ec6f7dd4377bfe69766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-03-12T22:46:43Z",
    "title_canon_sha256": "e15bbe2996cc2506bcb654618ffb697df0d0e622f895380d8bcaa49ddad68771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1867",
    "kind": "arxiv",
    "version": 3
  }
}