Pith Number

pith:W5MTA2W7

pith:2015:W5MTA2W7CHWXFPANDEQIVO7U3K

not attested not anchored not stored refs pending

The Intrinsic Geometry of Some Random Manifolds

Jonathan E. Taylor, Robert J. Adler, Sunder Ram Krishnan

arxiv:1512.05622 v1 · 2015-12-17 · math.PR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5MTA2W7CHWXFPANDEQIVO7U3K}

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	2026-05-18T00:52:31.144091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b759306adf11ed72bc0d19208abbf4da9f0d4b8c6d769d93f0f87ba5db4b8fa9

Aliases

arxiv: 1512.05622 · arxiv_version: 1512.05622v1 · doi: 10.48550/arxiv.1512.05622 · pith_short_12: W5MTA2W7CHWX · pith_short_16: W5MTA2W7CHWXFPAN · pith_short_8: W5MTA2W7

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/W5MTA2W7CHWXFPANDEQIVO7U3K \
  | 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: b759306adf11ed72bc0d19208abbf4da9f0d4b8c6d769d93f0f87ba5db4b8fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e115a6e886f507ced17b88e611d6891623639c83292b5888afa90d749dff76",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-17T15:08:02Z",
    "title_canon_sha256": "1dd4f5625cddd6bea619131e04b36d9b7149b8691325cb8c93dad4c71b70c3f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05622",
    "kind": "arxiv",
    "version": 1
  }
}