Pith Number

pith:F4P27JO6

pith:2015:F4P27JO6OWR3GFAGSAFS4L5NYY

not attested not anchored not stored refs pending

Central figure-8 cross-cuts make surfaces cylindrical

Bruce Solomon

arxiv:1509.04967 v1 · 2015-09-16 · 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{F4P27JO6OWR3GFAGSAFS4L5NYY}

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	2026-05-18T01:32:51.213881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1fafa5de75a3b31406900b2e2fadc600f16aeb825c7fb436e3f5bebcd9afd7

Aliases

arxiv: 1509.04967 · arxiv_version: 1509.04967v1 · doi: 10.48550/arxiv.1509.04967 · pith_short_12: F4P27JO6OWR3 · pith_short_16: F4P27JO6OWR3GFAG · pith_short_8: F4P27JO6

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/F4P27JO6OWR3GFAGSAFS4L5NYY \
  | 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: 2f1fafa5de75a3b31406900b2e2fadc600f16aeb825c7fb436e3f5bebcd9afd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dec56d87ccc87a60ec65eb27ccfddc42fd6b24bc1fb7c6aa7689c6e9c04258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-16T16:19:12Z",
    "title_canon_sha256": "af85474fe026d0fa6d55d072275b11d27438a09bf87067fe94468dc6a7a6101f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04967",
    "kind": "arxiv",
    "version": 1
  }
}