Pith Number

pith:CMMSWQNZ

pith:2015:CMMSWQNZMVYBR6LUJCPGMAH77J

not attested not anchored not stored refs pending

Relative Invariants, Contact Geometry and Open String Invariants

An-Min Li, Li Sheng

arxiv:1501.01094 v2 · 2015-01-06 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMMSWQNZMVYBR6LUJCPGMAH77J}

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	2026-05-18T02:28:47.307420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13192b41b9657018f974489e6600fffa549a5cb87edf43f1b5b07c7b9e83d4c6

Aliases

arxiv: 1501.01094 · arxiv_version: 1501.01094v2 · doi: 10.48550/arxiv.1501.01094 · pith_short_12: CMMSWQNZMVYB · pith_short_16: CMMSWQNZMVYBR6LU · pith_short_8: CMMSWQNZ

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/CMMSWQNZMVYBR6LUJCPGMAH77J \
  | 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: 13192b41b9657018f974489e6600fffa549a5cb87edf43f1b5b07c7b9e83d4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb40402951c3a737afeff3117fccd99893d1f529596c3a838372e8b7043be2a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-01-06T07:22:43Z",
    "title_canon_sha256": "7be90cce7a3258918e7e525f4658bd0ca00a75a7af48d5eae63a367aa6278bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01094",
    "kind": "arxiv",
    "version": 2
  }
}