Pith Number

pith:G3Z7JYRD

pith:2005:G3Z7JYRDFCFWKV2V4GJSTGCT5O

not attested not anchored not stored refs pending

Energy of Twisted Harmonic Maps of Riemann Surfaces

Richard A. Wentworth, William M. Goldman

arxiv:math/0506212 v2 · 2005-06-10 · math.DG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3Z7JYRDFCFWKV2V4GJSTGCT5O}

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	2026-05-18T04:18:33.425151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f3f4e223288b655755e193299853eb821754902a94f00f73aa86ceae72da40

Aliases

arxiv: math/0506212 · arxiv_version: math/0506212v2 · doi: 10.48550/arxiv.math/0506212 · pith_short_12: G3Z7JYRDFCFW · pith_short_16: G3Z7JYRDFCFWKV2V · pith_short_8: G3Z7JYRD

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/G3Z7JYRDFCFWKV2V4GJSTGCT5O \
  | 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: 36f3f4e223288b655755e193299853eb821754902a94f00f73aa86ceae72da40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81c65b5861c11280db169c0d6ab5758bd3e282c2bdd37488f9e16c2b977747f",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-06-10T21:00:28Z",
    "title_canon_sha256": "1a5bea253826f637f0dd11c4c03aeea32728f36be2d89c0c2176c100f8ba887c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506212",
    "kind": "arxiv",
    "version": 2
  }
}