Pith Number

pith:A2XAHFEW

pith:2012:A2XAHFEWH62YRWA44RCDHN3YD5

not attested not anchored not stored refs pending

Exactly fillable contact structures without Stein fillings

Jonathan Bowden

arxiv:1201.6550 v3 · 2012-01-31 · 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{A2XAHFEWH62YRWA44RCDHN3YD5}

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	2026-05-18T02:41:43.392813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ae0394963fb588d81ce44433b7781f46d39c4274b5f0392125c18ec01c13db

Aliases

arxiv: 1201.6550 · arxiv_version: 1201.6550v3 · doi: 10.48550/arxiv.1201.6550 · pith_short_12: A2XAHFEWH62Y · pith_short_16: A2XAHFEWH62YRWA4 · pith_short_8: A2XAHFEW

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/A2XAHFEWH62YRWA44RCDHN3YD5 \
  | 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: 06ae0394963fb588d81ce44433b7781f46d39c4274b5f0392125c18ec01c13db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec55a3d9b59a5a5b5a023557ebeda29391e90665f9de38fe49567df5f7d7dc5",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-31T14:32:12Z",
    "title_canon_sha256": "b17bc1947d3326cba636ca03948091b2af799f892f8dada4a7a85bb4fb4f034e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6550",
    "kind": "arxiv",
    "version": 3
  }
}