Pith Number

pith:N54GRHHS

pith:2014:N54GRHHSPKWET37UKFP3YEJFRC

not attested not anchored not stored refs pending

Abelian quotients of mapping class groups of highly connected manifolds

Oscar Randal-Williams, Soren Galatius

arxiv:1407.4680 v2 · 2014-07-17 · 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{N54GRHHSPKWET37UKFP3YEJFRC}

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	2026-05-18T01:57:41.812364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f78689cf27aac49eff4515fbc112588a19694600a57bb3859f786bd5145dcee

Aliases

arxiv: 1407.4680 · arxiv_version: 1407.4680v2 · doi: 10.48550/arxiv.1407.4680 · pith_short_12: N54GRHHSPKWE · pith_short_16: N54GRHHSPKWET37U · pith_short_8: N54GRHHS

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/N54GRHHSPKWET37UKFP3YEJFRC \
  | 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: 6f78689cf27aac49eff4515fbc112588a19694600a57bb3859f786bd5145dcee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6430fc2c8c0f5638a2ae44a2ddf16ab986547ad847c94eca353ea85d58d9cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-07-17T14:24:58Z",
    "title_canon_sha256": "eda8fadd087f9d9aada6bc816fc1bd469380ac1f55a51cff4c885204fa8a1489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4680",
    "kind": "arxiv",
    "version": 2
  }
}