Pith Number

pith:E4YI2D5L

pith:2003:E4YI2D5L43KSWZODP5ZWLQQW5L

not attested not anchored not stored refs pending

On the coarse classification of tight contact structures

Emmanuel Giroux, Ko Honda, Vincent Colin

arxiv:math/0305186 v1 · 2003-05-13 · math.GT · math.DG · 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{E4YI2D5L43KSWZODP5ZWLQQW5L}

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	2026-07-04T14:37:18.552138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27308d0fabe6d52b65c37f7365c216eadfae2bbb569de61352ec8806a6e90da1

Aliases

arxiv: math/0305186 · arxiv_version: math/0305186v1 · doi: 10.48550/arxiv.math/0305186 · pith_short_12: E4YI2D5L43KS · pith_short_16: E4YI2D5L43KSWZOD · pith_short_8: E4YI2D5L

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/E4YI2D5L43KSWZODP5ZWLQQW5L \
  | 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: 27308d0fabe6d52b65c37f7365c216eadfae2bbb569de61352ec8806a6e90da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97fbaa2497b6e7cdf0dd12a611225d7348e49f822f32fdd974f627beeeb987bd",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-05-13T17:15:33Z",
    "title_canon_sha256": "6854d5471e4013f9d75470c69330f198d7ccaa48c7a842f72304ecd2e6c2f5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305186",
    "kind": "arxiv",
    "version": 1
  }
}