Pith Number

pith:E3Z7IZGX

pith:2012:E3Z7IZGXA7XNWVKCAHLNL2L2QX

not attested not anchored not stored refs pending

Stable moduli spaces of high dimensional manifolds

Oscar Randal-Williams, Soren Galatius

arxiv:1201.3527 v2 · 2012-01-17 · 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{E3Z7IZGXA7XNWVKCAHLNL2L2QX}

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	2026-05-18T03:44:05.197632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f3f464d707eedb554201d6d5e97a85fe220cd70ec295181489b8d819279931

Aliases

arxiv: 1201.3527 · arxiv_version: 1201.3527v2 · doi: 10.48550/arxiv.1201.3527 · pith_short_12: E3Z7IZGXA7XN · pith_short_16: E3Z7IZGXA7XNWVKC · pith_short_8: E3Z7IZGX

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/E3Z7IZGXA7XNWVKCAHLNL2L2QX \
  | 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: 26f3f464d707eedb554201d6d5e97a85fe220cd70ec295181489b8d819279931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1072f1ca660c70b5f8034fe225e12c85a0e57435982cef9926d2cfe1097d07bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-01-17T15:15:06Z",
    "title_canon_sha256": "87f34627765aa9b5d3e51377a29894e9e931bd1b382fc5c237b90b27f88b182d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3527",
    "kind": "arxiv",
    "version": 2
  }
}