Pith Number

pith:7OFWDP3W

pith:2011:7OFWDP3WPQAKVBFSP6FTCWEOB4

not attested not anchored not stored refs pending

Flat structures on surface bundles

Jonathan Bowden

arxiv:1103.3199 v1 · 2011-03-16 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OFWDP3WPQAKVBFSP6FTCWEOB4}

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	2026-05-18T02:41:50.565803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8b61bf767c00aa84b27f8b31588e0f307365ed428563cf9c15595923ab092f

Aliases

arxiv: 1103.3199 · arxiv_version: 1103.3199v1 · doi: 10.48550/arxiv.1103.3199 · pith_short_12: 7OFWDP3WPQAK · pith_short_16: 7OFWDP3WPQAKVBFS · pith_short_8: 7OFWDP3W

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/7OFWDP3WPQAKVBFSP6FTCWEOB4 \
  | 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: fb8b61bf767c00aa84b27f8b31588e0f307365ed428563cf9c15595923ab092f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c6a985f01c68bf60ad83eb5881e930fe0130f6578447115ace9582c6e5ed16",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-16T15:28:14Z",
    "title_canon_sha256": "ef5398596cbc502a01fa3b0fe48a0b994946eaeae8ab8c703cc60f70be3f66cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3199",
    "kind": "arxiv",
    "version": 1
  }
}