Pith Number

pith:ARJFA4YO

pith:2013:ARJFA4YO6DZLWP5ARYRSNOW23Y

not attested not anchored not stored refs pending

Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds

Ben Warhurst, Marek Grochowski

arxiv:1312.4581 v4 · 2013-12-16 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARJFA4YO6DZLWP5ARYRSNOW23Y}

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	2026-05-18T02:18:33.195713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045250730ef0f2bb3fa08e2326badade35b0fbf4f4ef07da61adbf6b7ac9e460

Aliases

arxiv: 1312.4581 · arxiv_version: 1312.4581v4 · doi: 10.48550/arxiv.1312.4581 · pith_short_12: ARJFA4YO6DZL · pith_short_16: ARJFA4YO6DZLWP5A · pith_short_8: ARJFA4YO

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/ARJFA4YO6DZLWP5ARYRSNOW23Y \
  | 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: 045250730ef0f2bb3fa08e2326badade35b0fbf4f4ef07da61adbf6b7ac9e460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a7e27157f0c6011b93e1223d435053899ce8a6e3974f26f9eb839fafcb098d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-16T22:24:20Z",
    "title_canon_sha256": "1bfbaaee301b5d05982029ea7d09ab608bfb731fd77f884e2cc4afbbe253af4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4581",
    "kind": "arxiv",
    "version": 4
  }
}