Pith Number

pith:YCG6JCZ6

pith:2015:YCG6JCZ6ZJ7PG6MANC5HFTIBDU

not attested not anchored not stored refs pending

Quadratic differentials, half-plane structures, and harmonic maps to graphs

Michael Wolf, Subhojoy Gupta

arxiv:1505.02939 v1 · 2015-05-12 · math.DG · math.CV · 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{YCG6JCZ6ZJ7PG6MANC5HFTIBDU}

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	2026-05-18T02:14:15.572433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08de48b3eca7ef3798068ba72cd011d3feafd19997554cbdda0a3d89ac0f109

Aliases

arxiv: 1505.02939 · arxiv_version: 1505.02939v1 · doi: 10.48550/arxiv.1505.02939 · pith_short_12: YCG6JCZ6ZJ7P · pith_short_16: YCG6JCZ6ZJ7PG6MA · pith_short_8: YCG6JCZ6

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/YCG6JCZ6ZJ7PG6MANC5HFTIBDU \
  | 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: c08de48b3eca7ef3798068ba72cd011d3feafd19997554cbdda0a3d89ac0f109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96e9a8efe9d1515ad1514e5ca9de5ba7d91c68886ece772dec8b3ba0061d763",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-12T09:56:10Z",
    "title_canon_sha256": "4e7e9349770dab52de4fd08f30d1de45e5797ffc75809409beea1813e86c1664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02939",
    "kind": "arxiv",
    "version": 1
  }
}