Pith Number

pith:D23P6X5R

pith:2005:D23P6X5RDNZTLFJUF7YGJMJV2T

not attested not anchored not stored refs pending

Finiteness and Torelli Spaces

Richard Hain

arxiv:math/0508541 v1 · 2005-08-26 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D23P6X5RDNZTLFJUF7YGJMJV2T}

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.

Cited by

1 paper in Pith

Finite generation, algebraicity, and representation stability for homology of Torelli groups

Receipt and verification

First computed	2026-07-04T14:40:20.415483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb6ff5fb11b733595342ff064b135d4e6427e82020aca3ef18451e8f667f109

Aliases

arxiv: math/0508541 · arxiv_version: math/0508541v1 · doi: 10.48550/arxiv.math/0508541 · pith_short_12: D23P6X5RDNZT · pith_short_16: D23P6X5RDNZTLFJU · pith_short_8: D23P6X5R

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/D23P6X5RDNZTLFJUF7YGJMJV2T \
  | 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: 1eb6ff5fb11b733595342ff064b135d4e6427e82020aca3ef18451e8f667f109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8696e1e63e7687e1a0b75d5468a69d7992c5aadd4a05597cddb06509bf746de4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-08-26T21:30:24Z",
    "title_canon_sha256": "98b080ad0fb2b34a45f91b83dd5d9e89ab58411e9dcf373efad6b0aa6f10b59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508541",
    "kind": "arxiv",
    "version": 1
  }
}