Pith Number

pith:CPBAT7ZD

pith:2016:CPBAT7ZDHRLSNV2VSDXCENNLKR

not attested not anchored not stored refs pending

Tight contact structures on hyperbolic three-manifolds

Merve Secgin, M. Firat Arikan

arxiv:1610.03787 v2 · 2016-10-12 · 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{CPBAT7ZDHRLSNV2VSDXCENNLKR}

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	2026-05-18T00:20:27.710889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c209ff233c5726d75590ee2235ab545741fbc34942f6911549172efd340112

Aliases

arxiv: 1610.03787 · arxiv_version: 1610.03787v2 · doi: 10.48550/arxiv.1610.03787 · pith_short_12: CPBAT7ZDHRLS · pith_short_16: CPBAT7ZDHRLSNV2V · pith_short_8: CPBAT7ZD

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/CPBAT7ZDHRLSNV2VSDXCENNLKR \
  | 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: 13c209ff233c5726d75590ee2235ab545741fbc34942f6911549172efd340112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f42c104b383eb2466a7e1b49ddc2bdd7b59f55085fd19554caa01f6b5aebebf",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-10-12T16:57:44Z",
    "title_canon_sha256": "4615b0591097557b0a80637c647bc432e329f1466d2fa7acda57c0639a55a0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03787",
    "kind": "arxiv",
    "version": 2
  }
}