Pith Number

pith:TPN45HXI

pith:2016:TPN45HXIKSZLVIGHVFL5FIYMMI

not attested not anchored not stored refs pending

Double Poisson extensions

Qi Lou, Sei-Qwon Oh, S.-Q. Wang

arxiv:1606.02410 v4 · 2016-06-08 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPN45HXIKSZLVIGHVFL5FIYMMI}

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	2026-05-18T00:14:01.511862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdbce9ee854b2baa0c7a957d2a30c6216aa4c3fa9c9a4bf1c00633ede45524b

Aliases

arxiv: 1606.02410 · arxiv_version: 1606.02410v4 · doi: 10.48550/arxiv.1606.02410 · pith_short_12: TPN45HXIKSZL · pith_short_16: TPN45HXIKSZLVIGH · pith_short_8: TPN45HXI

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/TPN45HXIKSZLVIGHVFL5FIYMMI \
  | 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: 9bdbce9ee854b2baa0c7a957d2a30c6216aa4c3fa9c9a4bf1c00633ede45524b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec32a20afdb2585f81711da08dc14694e29e1b9fc8d5c04a4168eceb27f3321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-08T06:18:12Z",
    "title_canon_sha256": "72ce01047fad4236d83f5eea00aa8eeb23db2e5ad3ee2dbbd4333f5dcf6ad8e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02410",
    "kind": "arxiv",
    "version": 4
  }
}