Pith Number

pith:E5HBFGWB

pith:2009:E5HBFGWB5DEAHW4TUOLOKJ3B5N

not attested not anchored not stored refs pending

Small filling sets of curves on a surface

Alexandra Pettet, Hugo Parlier, James W. Anderson

arxiv:0909.1966 v2 · 2009-09-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5HBFGWB5DEAHW4TUOLOKJ3B5N}

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	2026-05-18T04:39:40.551702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274e129ac1e8c803db93a396e52761eb642267b39141542ee782e09575d1597b

Aliases

arxiv: 0909.1966 · arxiv_version: 0909.1966v2 · doi: 10.48550/arxiv.0909.1966 · pith_short_12: E5HBFGWB5DEA · pith_short_16: E5HBFGWB5DEAHW4T · pith_short_8: E5HBFGWB

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/E5HBFGWB5DEAHW4TUOLOKJ3B5N \
  | 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: 274e129ac1e8c803db93a396e52761eb642267b39141542ee782e09575d1597b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4528f1ec3a6e3bbe797346e57ee0c943970e3b771e510284b9407ce828e685b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-09-10T15:06:53Z",
    "title_canon_sha256": "b8be6cede724fd96acbcd60219b690ed920f5d56205c7c21a7b17c57e2eecd51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1966",
    "kind": "arxiv",
    "version": 2
  }
}