Pith Number

pith:O3OXIPMP

pith:2001:O3OXIPMPIX34D53ZFVWFHJJ226

not attested not anchored not stored refs pending

The Blaschke conjecture and great circle fibrations of spheres

Benjamin McKay

arxiv:math/0112027 v4 · 2001-12-03 · 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{O3OXIPMPIX34D53ZFVWFHJJ226}

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	2026-05-18T01:02:21.556916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76dd743d8f45f7c1f7792d6c53a53ad7900ef0650283d1be2b811d1903f75f60

Aliases

arxiv: math/0112027 · arxiv_version: math/0112027v4 · doi: 10.48550/arxiv.math/0112027 · pith_short_12: O3OXIPMPIX34 · pith_short_16: O3OXIPMPIX34D53Z · pith_short_8: O3OXIPMP

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/O3OXIPMPIX34D53ZFVWFHJJ226 \
  | 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: 76dd743d8f45f7c1f7792d6c53a53ad7900ef0650283d1be2b811d1903f75f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169d0196e8784dace22adfb17163faedec09cb358c123c56f49ccfd724dda6d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2001-12-03T21:59:00Z",
    "title_canon_sha256": "24918ac498505ee88d039b23255edf5533cc8b67dddbbc8848672a916a47e4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112027",
    "kind": "arxiv",
    "version": 4
  }
}