Pith Number

pith:2NUWPO44

pith:2009:2NUWPO44GQRDKOOXBHVGZIV3VG

not attested not anchored not stored refs pending

Monoids of moduli spaces of manifolds

Oscar Randal-Williams, Soren Galatius

arxiv:0905.2855 v2 · 2009-05-18 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NUWPO44GQRDKOOXBHVGZIV3VG}

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	2026-05-18T02:38:18.835856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36967bb9c34223539d709ea6ca2bba9bb3a6da5c6b62210ffc37d0b492f0e65

Aliases

arxiv: 0905.2855 · arxiv_version: 0905.2855v2 · doi: 10.48550/arxiv.0905.2855 · pith_short_12: 2NUWPO44GQRD · pith_short_16: 2NUWPO44GQRDKOOX · pith_short_8: 2NUWPO44

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/2NUWPO44GQRDKOOXBHVGZIV3VG \
  | 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: d36967bb9c34223539d709ea6ca2bba9bb3a6da5c6b62210ffc37d0b492f0e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d646193bc09655dccf2a7b7eae44024d9bd4002a9e365c00cd4cdd77b04fd177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-05-18T11:28:42Z",
    "title_canon_sha256": "0d83cf3d8442d1c45043fe8646dfdcb3dd4b548cff93d37233f8002c65ff0051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2855",
    "kind": "arxiv",
    "version": 2
  }
}