Pith Number

pith:5XTGZFX5

pith:2015:5XTGZFX5FYBEG2X4UD6FUH4PG3

not attested not anchored not stored refs pending

Renormalized volume on the Teichm\"uller space of punctured surfaces

Colin Guillarmou, Fr\'ed\'eric Rochon, Sergiu Moroianu

arxiv:1504.04721 v2 · 2015-04-18 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XTGZFX5FYBEG2X4UD6FUH4PG3}

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	2026-05-18T01:24:03.798589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede66c96fd2e02436afca0fc5a1f8f36f60e279fc44316529fc100845c5b8204

Aliases

arxiv: 1504.04721 · arxiv_version: 1504.04721v2 · doi: 10.48550/arxiv.1504.04721 · pith_short_12: 5XTGZFX5FYBE · pith_short_16: 5XTGZFX5FYBEG2X4 · pith_short_8: 5XTGZFX5

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/5XTGZFX5FYBEG2X4UD6FUH4PG3 \
  | 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: ede66c96fd2e02436afca0fc5a1f8f36f60e279fc44316529fc100845c5b8204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae263b53c0c04af0f374437c95fb610a5497e5a0abca73099962e32c95c6cdf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-18T13:57:22Z",
    "title_canon_sha256": "19ba2e7bf3e749d6adba2f77e4875d98e5d81edf410a7f4864f4f6d687a04a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04721",
    "kind": "arxiv",
    "version": 2
  }
}