Pith Number

pith:O765DJVJ

pith:2011:O765DJVJSQBZ4RGPWU3DAQSFB2

not attested not anchored not stored refs pending

Moduli spaces of punctured Poincar\'e disks

Aditi Vashist, Benjamin Fehrman, Satyan L. Devadoss, Timothy Heath

arxiv:1109.2830 v1 · 2011-09-13 · math.AT · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O765DJVJSQBZ4RGPWU3DAQSFB2}

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	2026-05-18T01:49:54.348059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77fdd1a6a994039e44cfb5363042450e94f8541ff571bcb09b94d9f223d013ed

Aliases

arxiv: 1109.2830 · arxiv_version: 1109.2830v1 · doi: 10.48550/arxiv.1109.2830 · pith_short_12: O765DJVJSQBZ · pith_short_16: O765DJVJSQBZ4RGP · pith_short_8: O765DJVJ

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/O765DJVJSQBZ4RGPWU3DAQSFB2 \
  | 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: 77fdd1a6a994039e44cfb5363042450e94f8541ff571bcb09b94d9f223d013ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f80751a88b378827aa137e02be3f6a6929842300dd2bc3ecee8183c7711678e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-13T15:40:02Z",
    "title_canon_sha256": "69e61200b37bb2ba3e192954befad20ffaa1bbf4323210899353fe682584b252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2830",
    "kind": "arxiv",
    "version": 1
  }
}