Pith Number

pith:GQJZ5KQZ

pith:2016:GQJZ5KQZVLT66MHDIQSYJ7KDNR

not attested not anchored not stored refs pending

Legendrian satellites

John Etnyre, Vera V\'ertesi

arxiv:1608.05695 v1 · 2016-08-19 · 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{GQJZ5KQZVLT66MHDIQSYJ7KDNR}

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	2026-05-18T01:08:27.782529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34139eaa19aae7ef30e3442584fd436c4e8abf5bf49966da1b24128bb84cf001

Aliases

arxiv: 1608.05695 · arxiv_version: 1608.05695v1 · doi: 10.48550/arxiv.1608.05695 · pith_short_12: GQJZ5KQZVLT6 · pith_short_16: GQJZ5KQZVLT66MHD · pith_short_8: GQJZ5KQZ

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/GQJZ5KQZVLT66MHDIQSYJ7KDNR \
  | 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: 34139eaa19aae7ef30e3442584fd436c4e8abf5bf49966da1b24128bb84cf001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d5b657d4aa285f2315b654fffd934568510fd5e912c2a7e0ffde89c58eae92",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-19T18:57:09Z",
    "title_canon_sha256": "02a90a6901193e3b4c7d9b197692b6dc221e187890c0ebe5f5ae15deb181ea3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05695",
    "kind": "arxiv",
    "version": 1
  }
}