Pith Number

pith:66PF33WN

pith:2009:66PF33WN4EPOFDDBPAH7YF7IWD

not attested not anchored not stored refs pending

Resolutions of moduli spaces and homological stability

Oscar Randal-Williams

arxiv:0909.4278 v4 · 2009-09-23 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66PF33WN4EPOFDDBPAH7YF7IWD}

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	2026-05-18T02:24:47.101404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79e5deecde11ee28c61780ffc17e8b0cd683fbb9c00a8373d597d0ed2cd0269

Aliases

arxiv: 0909.4278 · arxiv_version: 0909.4278v4 · doi: 10.48550/arxiv.0909.4278 · pith_short_12: 66PF33WN4EPO · pith_short_16: 66PF33WN4EPOFDDB · pith_short_8: 66PF33WN

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/66PF33WN4EPOFDDBPAH7YF7IWD \
  | 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: f79e5deecde11ee28c61780ffc17e8b0cd683fbb9c00a8373d597d0ed2cd0269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5e6a7445cac50c508e4c7a72f60c60dbffb51ae71f93bfa245b99f9262f32e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-09-23T18:39:38Z",
    "title_canon_sha256": "3f7c7e3530b0c3ec82e64ab6707e405b41db6bd6f20024e03aa1e7708a4d83e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4278",
    "kind": "arxiv",
    "version": 4
  }
}