Pith Number

pith:TPBNWOFA

pith:2014:TPBNWOFAX6ZWI4W4NFE3NZIFTC

not attested not anchored not stored refs pending

Existence and classification of overtwisted contact structures in all dimensions

Emmy Murphy, Matthew Strom Borman, Yakov Eliashberg

arxiv:1404.6157 v2 · 2014-04-24 · math.SG · 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{TPBNWOFAX6ZWI4W4NFE3NZIFTC}

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	2026-05-18T02:40:18.287101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc2db38a0bfb36472dc6949b6e50598b897fc25971e6e7d69a10b09b6d36737

Aliases

arxiv: 1404.6157 · arxiv_version: 1404.6157v2 · doi: 10.48550/arxiv.1404.6157 · pith_short_12: TPBNWOFAX6ZW · pith_short_16: TPBNWOFAX6ZWI4W4 · pith_short_8: TPBNWOFA

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/TPBNWOFAX6ZWI4W4NFE3NZIFTC \
  | 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: 9bc2db38a0bfb36472dc6949b6e50598b897fc25971e6e7d69a10b09b6d36737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e57532b29b227859062f9d10d386ec10c7e8ead2a40e9783bed6f0de115840",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-24T15:31:07Z",
    "title_canon_sha256": "9398503646ad988f13f05ad8e1082105566c36c9a6e003cbd531b070d799655d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6157",
    "kind": "arxiv",
    "version": 2
  }
}