Pith Number

pith:E6YELMGA

pith:2002:E6YELMGA2ORTP3KQTUFYZIMPCB

not attested not anchored not stored refs pending

Projective planes and their look-alikes

Linus Kramer

arxiv:math/0206145 v3 · 2002-06-14 · math.GT · 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{E6YELMGA2ORTP3KQTUFYZIMPCB}

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	2026-07-04T14:36:16.140726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b045b0c0d3a337ed509d0b8ca18f104589c1652d35ff382cd242a8e58e3025

Aliases

arxiv: math/0206145 · arxiv_version: math/0206145v3 · doi: 10.48550/arxiv.math/0206145 · pith_short_12: E6YELMGA2ORT · pith_short_16: E6YELMGA2ORTP3KQ · pith_short_8: E6YELMGA

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/E6YELMGA2ORTP3KQTUFYZIMPCB \
  | 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: 27b045b0c0d3a337ed509d0b8ca18f104589c1652d35ff382cd242a8e58e3025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e91e752a2ae00e39f5b88a7005d9c5ef2316e1a96a743679f40e89f20618afe",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-06-14T14:56:03Z",
    "title_canon_sha256": "cc0e44845e5cb8511551bc5c9b606dcd6cbca82a51216cd216b793860694a348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206145",
    "kind": "arxiv",
    "version": 3
  }
}