Pith Number

pith:XGRHJZ2C

pith:2017:XGRHJZ2CW2GZ3LSCQSJ7TDNNX7

not attested not anchored not stored refs pending

Embedding all contact 3-manifolds in a fixed contact 5-manifold

John B. Etnyre, Yanki Lekili

arxiv:1712.09642 v2 · 2017-12-27 · math.GT · 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{XGRHJZ2CW2GZ3LSCQSJ7TDNNX7}

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	2026-05-18T00:09:16.868674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a274e742b68d9dae428493f98dadbfd1a0d046a0e0d334f3e355b7f0fb40ec

Aliases

arxiv: 1712.09642 · arxiv_version: 1712.09642v2 · doi: 10.48550/arxiv.1712.09642 · pith_short_12: XGRHJZ2CW2GZ · pith_short_16: XGRHJZ2CW2GZ3LSC · pith_short_8: XGRHJZ2C

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/XGRHJZ2CW2GZ3LSCQSJ7TDNNX7 \
  | 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: b9a274e742b68d9dae428493f98dadbfd1a0d046a0e0d334f3e355b7f0fb40ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b274461c1824ca82e4ba57275905d701f8df5bbc3648091f6950a2efce61474",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-27T17:45:48Z",
    "title_canon_sha256": "6b1bc13020789e0b2d891f60074d2372fca9db5e0138940b3cedc313817ebda3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09642",
    "kind": "arxiv",
    "version": 2
  }
}