Pith Number

pith:UHPAP3BA

pith:2013:UHPAP3BAIFG56X66ECCO7AFPSE

not attested not anchored not stored refs pending

Large scale rank of Teichmuller space

Alex Eskin, Howard Masur, Kasra Rafi

arxiv:1307.3733 v2 · 2013-07-14 · 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{UHPAP3BAIFG56X66ECCO7AFPSE}

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	2026-05-18T00:32:45.454931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1de07ec20414ddf5fde2084ef80af913e34e9c2e307c0f485f683cbb9edf8cd

Aliases

arxiv: 1307.3733 · arxiv_version: 1307.3733v2 · doi: 10.48550/arxiv.1307.3733 · pith_short_12: UHPAP3BAIFG5 · pith_short_16: UHPAP3BAIFG56X66 · pith_short_8: UHPAP3BA

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/UHPAP3BAIFG56X66ECCO7AFPSE \
  | 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: a1de07ec20414ddf5fde2084ef80af913e34e9c2e307c0f485f683cbb9edf8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c592bfafd87215e1317388c293071073a565c5e596029a359b0196c4e3fda4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-14T12:57:30Z",
    "title_canon_sha256": "13b7ab46e5c67bf7379c632770d91ab0bd60ac6aa9de7814b026b4563a72538c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3733",
    "kind": "arxiv",
    "version": 2
  }
}