Pith Number

pith:FA6PVQVU

pith:2003:FA6PVQVUZJUNFA7WVHWDTAYBIS

not attested not anchored not stored refs pending

Moduli spaces of local systems and higher Teichmuller theory

A.B. Goncharov, V.V. Fock

arxiv:math/0311149 v4 · 2003-11-10 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FA6PVQVUZJUNFA7WVHWDTAYBIS}

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.

Cited by

3 papers in Pith

Band bases as common triangular bases in cluster algebras from surfaces

Weighted Cycles on Weaves

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-07-04T14:49:42.590519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

283cfac2b4ca68d283f6a9ec398301448ba4cd809a1d6d03440c06d2ffaf2b54

Aliases

arxiv: math/0311149 · arxiv_version: math/0311149v4 · doi: 10.48550/arxiv.math/0311149 · pith_short_12: FA6PVQVUZJUN · pith_short_16: FA6PVQVUZJUNFA7W · pith_short_8: FA6PVQVU

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/FA6PVQVUZJUNFA7WVHWDTAYBIS \
  | 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: 283cfac2b4ca68d283f6a9ec398301448ba4cd809a1d6d03440c06d2ffaf2b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f882dd75f7f6637c27a781fe1ffaf285a0f8e950ddbdbf2f502493bce09f76",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-11-10T19:59:42Z",
    "title_canon_sha256": "6fdd17a51387144c016fa9a0cd0dabfc3a1dccfdb9418a781d7739c0e27108ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311149",
    "kind": "arxiv",
    "version": 4
  }
}