Pith Number

pith:3DEMMAQC

pith:2004:3DEMMAQCQQSHWFY2NIG7CEPWYD

not attested not anchored not stored refs pending

Geometric Aspects of the Moduli Space of Riemann Surfaces

Kefeng Liu, Shin-Tung Yau, Xiaofeng Sun

arxiv:math/0411247 v2 · 2004-11-11 · math.DG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DEMMAQCQQSHWFY2NIG7CEPWYD}

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	2026-05-18T01:38:27.041461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c8c6020284247b171a6a0df111f6c0efe893d34dd4135438f91151d8f324a5

Aliases

arxiv: math/0411247 · arxiv_version: math/0411247v2 · doi: 10.48550/arxiv.math/0411247 · pith_short_12: 3DEMMAQCQQSH · pith_short_16: 3DEMMAQCQQSHWFY2 · pith_short_8: 3DEMMAQC

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/3DEMMAQCQQSHWFY2NIG7CEPWYD \
  | 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: d8c8c6020284247b171a6a0df111f6c0efe893d34dd4135438f91151d8f324a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6d791036daba85baa4c06557d5d78a5943a99e19792306e32e2d07fd09cdae",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-11-11T03:43:31Z",
    "title_canon_sha256": "cc95c0ce1c20554bbe3975e2af5c6eb3e4af30b9340f95f9beb5ed22922e31da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411247",
    "kind": "arxiv",
    "version": 2
  }
}