Pith Number

pith:2HPIIGL5

pith:2008:2HPIIGL5YI6DCTPH55SSIVY3WM

not attested not anchored not stored refs pending

Generating families and Legendrian contact homology in the standard contact space

Dan Rutherford, Dmitry Fuchs

arxiv:0807.4277 v2 · 2008-07-27 · 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{2HPIIGL5YI6DCTPH55SSIVY3WM}

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	2026-05-18T02:58:11.329448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1de84197dc23c314de7ef6524571bb32286ec0d807534593c3eb00f3065033c

Aliases

arxiv: 0807.4277 · arxiv_version: 0807.4277v2 · doi: 10.48550/arxiv.0807.4277 · pith_short_12: 2HPIIGL5YI6D · pith_short_16: 2HPIIGL5YI6DCTPH · pith_short_8: 2HPIIGL5

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/2HPIIGL5YI6DCTPH55SSIVY3WM \
  | 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: d1de84197dc23c314de7ef6524571bb32286ec0d807534593c3eb00f3065033c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8810a7b163d4eb969cfe116aff91c724be8a447d3fddf2ff11ef14820bc6a65c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-07-27T07:01:10Z",
    "title_canon_sha256": "4c41cd6ea0019f3a370587c75c0c9b2cdbf3850c35bc9282e153a11ec6a5280f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4277",
    "kind": "arxiv",
    "version": 2
  }
}