Pith Number

pith:VSW7XEMK

pith:2012:VSW7XEMKPUMNDPKEQJV7CS7XTU

not attested not anchored not stored refs pending

Prescribing the behavior of Weil-Petersson geodesics in the moduli space of Riemann surfaces

Babak Modami

arxiv:1212.0051 v4 · 2012-12-01 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSW7XEMKPUMNDPKEQJV7CS7XTU}

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	2026-05-18T01:29:13.589057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acadfb918a7d18d1bd44826bf14bf79d2caabd94cb9e7db3b8aafaaa7d991e97

Aliases

arxiv: 1212.0051 · arxiv_version: 1212.0051v4 · doi: 10.48550/arxiv.1212.0051 · pith_short_12: VSW7XEMKPUMN · pith_short_16: VSW7XEMKPUMNDPKE · pith_short_8: VSW7XEMK

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/VSW7XEMKPUMNDPKEQJV7CS7XTU \
  | 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: acadfb918a7d18d1bd44826bf14bf79d2caabd94cb9e7db3b8aafaaa7d991e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26997e858fb64d8c0dccb91dcb2a1b0e40763c6427352ff68d4d8330ad76cfae",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-01T01:05:41Z",
    "title_canon_sha256": "caeaffa614d5222b2810ed584c574445fe18cb6d42b9e6ac99917d3b379680eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0051",
    "kind": "arxiv",
    "version": 4
  }
}