Pith Number

pith:ZH5PFKRF

pith:2013:ZH5PFKRFBKM62PN6TTG335VBPD

not attested not anchored not stored refs pending

Branch points of area-minimizing projective planes

Robert Gulliver

arxiv:1308.5997 v1 · 2013-08-27 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH5PFKRFBKM62PN6TTG335VBPD}

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	2026-05-18T03:14:49.374113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9faf2aa250a99ed3dbe9ccdbdf6a178e6ff98a919e5181cbd2c17d63712b204

Aliases

arxiv: 1308.5997 · arxiv_version: 1308.5997v1 · doi: 10.48550/arxiv.1308.5997 · pith_short_12: ZH5PFKRFBKM6 · pith_short_16: ZH5PFKRFBKM62PN6 · pith_short_8: ZH5PFKRF

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/ZH5PFKRFBKM62PN6TTG335VBPD \
  | 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: c9faf2aa250a99ed3dbe9ccdbdf6a178e6ff98a919e5181cbd2c17d63712b204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879e7b930d6bd2f2281e85deb6622a16cbcd3589a36353fd476fda879b41f452",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-27T21:08:57Z",
    "title_canon_sha256": "54a6b8f0824be471488021e68af323eb4a386f3a465ca3d2b293bb0b7b021eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5997",
    "kind": "arxiv",
    "version": 1
  }
}