Pith Number

pith:3PLCPHRP

pith:2023:3PLCPHRPHBHGCIXBSGN6JFNSWE

not attested not anchored not stored refs pending

An algebraic generalization of Giroux's criterion

Russell Avdek

arxiv:2307.09068 v2 · 2023-07-18 · 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{3PLCPHRPHBHGCIXBSGN6JFNSWE}

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	2026-07-05T06:57:08.978563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd6279e2f384e6122e1919be495b2b1189571c700c6ca645d572da54d1f9e5c

Aliases

arxiv: 2307.09068 · arxiv_version: 2307.09068v2 · doi: 10.48550/arxiv.2307.09068 · pith_short_12: 3PLCPHRPHBHG · pith_short_16: 3PLCPHRPHBHGCIXB · pith_short_8: 3PLCPHRP

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/3PLCPHRPHBHGCIXBSGN6JFNSWE \
  | 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: dbd6279e2f384e6122e1919be495b2b1189571c700c6ca645d572da54d1f9e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bece466ea9f34432f9e7ee0c93a53b435df4ba9b18eb45b44989b478ced5364b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-07-18T08:38:09Z",
    "title_canon_sha256": "b51ca61166aefec34b9764f2685e5f4882d915c4ff6b0bbe667f1b468b5d900c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09068",
    "kind": "arxiv",
    "version": 2
  }
}