Pith Number

pith:VQ2Z735V

pith:2015:VQ2Z735V67FR4AKBNNNNBEHBVL

not attested not anchored not stored refs pending

On the contact mapping class group of Legendrian circle bundles

Emmanuel Giroux, Patrick Massot

arxiv:1506.01162 v1 · 2015-06-03 · 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{VQ2Z735V67FR4AKBNNNNBEHBVL}

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	2026-05-17T23:53:13.802724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac359fefb5f7cb1e01416b5ad090e1aaca64d79390e3a74661a865d813ae0495

Aliases

arxiv: 1506.01162 · arxiv_version: 1506.01162v1 · doi: 10.48550/arxiv.1506.01162 · pith_short_12: VQ2Z735V67FR · pith_short_16: VQ2Z735V67FR4AKB · pith_short_8: VQ2Z735V

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/VQ2Z735V67FR4AKBNNNNBEHBVL \
  | 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: ac359fefb5f7cb1e01416b5ad090e1aaca64d79390e3a74661a865d813ae0495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b23dce2f270f3727dcdb36d06eb8fbfaa64b3a0050aa1acd3f4d72c5f0f084",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-03T08:36:05Z",
    "title_canon_sha256": "d976f7cbd60b75c67c7fc5fbc12bfb6915e05e5fb15e423f095040937775deb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01162",
    "kind": "arxiv",
    "version": 1
  }
}