Pith Number

pith:ONKUEAWU

pith:2013:ONKUEAWUZYUHAA2DDSIQVPZK7U

not attested not anchored not stored refs pending

Curvatures of moduli space of curves and applications

Kefeng Liu, Shing-Tung Yau, Xiaofeng Sun, Xiaokui Yang

arxiv:1312.6932 v3 · 2013-12-25 · 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{ONKUEAWUZYUHAA2DDSIQVPZK7U}

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	2026-05-18T01:17:26.184393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73554202d4ce287003431c910abf2afd1a3b738812d2d36d261b86926dfabff0

Aliases

arxiv: 1312.6932 · arxiv_version: 1312.6932v3 · doi: 10.48550/arxiv.1312.6932 · pith_short_12: ONKUEAWUZYUH · pith_short_16: ONKUEAWUZYUHAA2D · pith_short_8: ONKUEAWU

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/ONKUEAWUZYUHAA2DDSIQVPZK7U \
  | 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: 73554202d4ce287003431c910abf2afd1a3b738812d2d36d261b86926dfabff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3f302ab7306f5a118e67342015367ec93cb6fa681621d0c7dbf88125cad65b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-25T06:42:49Z",
    "title_canon_sha256": "c29ffdf12c54c11a84eb09c4d119944f6b52f2ea3dd6432b3ebfb4390ac21785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6932",
    "kind": "arxiv",
    "version": 3
  }
}