Pith Number

pith:TT4LIEGK

pith:2013:TT4LIEGKLN3SBCHUWPQFT535HF

not attested not anchored not stored refs pending

Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms

Chung-Jun Tsai

arxiv:1307.4605 v1 · 2013-07-17 · 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{TT4LIEGKLN3SBCHUWPQFT535HF}

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	2026-05-18T03:18:17.557909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf8b410ca5b772088f4b3e059f77d3969b581e3945ec294e151ba84f62ad700

Aliases

arxiv: 1307.4605 · arxiv_version: 1307.4605v1 · doi: 10.48550/arxiv.1307.4605 · pith_short_12: TT4LIEGKLN3S · pith_short_16: TT4LIEGKLN3SBCHU · pith_short_8: TT4LIEGK

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/TT4LIEGKLN3SBCHUWPQFT535HF \
  | 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: 9cf8b410ca5b772088f4b3e059f77d3969b581e3945ec294e151ba84f62ad700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb9dab6e1702632c11dbd658478da94e4341910d75f164e523028f289a8d3cf",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-17T13:01:14Z",
    "title_canon_sha256": "c52b05763f9fc11839c3446eb03f028c861388d5e164f4a5228cdfa132ed1084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4605",
    "kind": "arxiv",
    "version": 1
  }
}