Pith Number

pith:ZNSCNXT7

pith:2016:ZNSCNXT7BC6EKVGAI4V6VIV7EM

not attested not anchored not stored refs pending

Homological stability for moduli spaces of high dimensional manifolds. II

Oscar Randal-Williams, Soren Galatius

arxiv:1601.00232 v2 · 2016-01-02 · 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{ZNSCNXT7BC6EKVGAI4V6VIV7EM}

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	2026-05-18T00:51:07.427641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6426de7f08bc4554c0472beaa2bf23125fef1978d466e9ff21221e5cbb209e

Aliases

arxiv: 1601.00232 · arxiv_version: 1601.00232v2 · doi: 10.48550/arxiv.1601.00232 · pith_short_12: ZNSCNXT7BC6E · pith_short_16: ZNSCNXT7BC6EKVGA · pith_short_8: ZNSCNXT7

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/ZNSCNXT7BC6EKVGAI4V6VIV7EM \
  | 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: cb6426de7f08bc4554c0472beaa2bf23125fef1978d466e9ff21221e5cbb209e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d2670d6ecd176307a7f246e95537b0b7be53b214ba7e5916babe7d28fdedda",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-02T22:52:03Z",
    "title_canon_sha256": "c52773f8869713a568539dafea6d2871b5ae46277d7e358a2580a9efa77ad161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00232",
    "kind": "arxiv",
    "version": 2
  }
}