Pith Number

pith:BZFR4REP

pith:2010:BZFR4REP25E225C7AR4EL5GNGM

not attested not anchored not stored refs pending

On Fenchel-Nielsen coordinates on Teichm\"uller spaces of surfaces of infinite type

Athanase Papadopoulos (IRMA, Daniele Alessandrini (IRMA), Lixin Liu, MPI), Weixu Su, Zongliang Sun

arxiv:1003.0980 v1 · 2010-03-04 · 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{BZFR4REP25E225C7AR4EL5GNGM}

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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	2026-05-18T00:05:09.968235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4b1e448fd749ad745f047845f4cd33152816280e484486b5beea437c1c4963

Aliases

arxiv: 1003.0980 · arxiv_version: 1003.0980v1 · doi: 10.48550/arxiv.1003.0980 · pith_short_12: BZFR4REP25E2 · pith_short_16: BZFR4REP25E225C7 · pith_short_8: BZFR4REP

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/BZFR4REP25E225C7AR4EL5GNGM \
  | 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: 0e4b1e448fd749ad745f047845f4cd33152816280e484486b5beea437c1c4963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee95d31e31867a8d9ab3e9e6fdf5a2b8e714ccdcb70890489e1ed272ef286a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-04T07:38:53Z",
    "title_canon_sha256": "b608c0c61d7203853499d5d45e2f0fb7f0710bda8c39668024da4434833893bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0980",
    "kind": "arxiv",
    "version": 1
  }
}