Pith Number

pith:27S64AAG

pith:2016:27S64AAGSA254MEED35PQLL3CH

not attested not anchored not stored refs pending

The Kodaira dimension of contact 3-manifolds and geography of symplectic fillings

Cheuk Yu Mak, Tian-Jun Li

arxiv:1610.06870 v1 · 2016-10-21 · 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{27S64AAGSA254MEED35PQLL3CH}

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	2026-05-18T01:01:36.506528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e5ee00069035de30841efaf82d7b11dceea4fdb00bfc43356fa9e416d9648c

Aliases

arxiv: 1610.06870 · arxiv_version: 1610.06870v1 · doi: 10.48550/arxiv.1610.06870 · pith_short_12: 27S64AAGSA25 · pith_short_16: 27S64AAGSA254MEE · pith_short_8: 27S64AAG

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/27S64AAGSA254MEED35PQLL3CH \
  | 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: d7e5ee00069035de30841efaf82d7b11dceea4fdb00bfc43356fa9e416d9648c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77b8f195605bdf15442844d86d68be3621c1b6b7e6b99c361c0bd246864c683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-10-21T17:35:17Z",
    "title_canon_sha256": "65d4291c564b4b0ce17b8b1a8cfa06cd5f96f3aac4399120008cc301403f4140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06870",
    "kind": "arxiv",
    "version": 1
  }
}