Pith Number

pith:S744SNUH

pith:2016:S744SNUHCR56QNKRTB7DNGGCM3

not attested not anchored not stored refs pending

From the divergence between two measures to the shortest path between two observables

Miguel Abadi, Rodrigo Lambert

arxiv:1611.01530 v2 · 2016-11-04 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S744SNUHCR56QNKRTB7DNGGCM3}

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	2026-05-17T23:50:34.468386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f9c93687147be83551987e3698c266cfe7da60a77bf42d1b58ab49e7fb9701

Aliases

arxiv: 1611.01530 · arxiv_version: 1611.01530v2 · doi: 10.48550/arxiv.1611.01530 · pith_short_12: S744SNUHCR56 · pith_short_16: S744SNUHCR56QNKR · pith_short_8: S744SNUH

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/S744SNUHCR56QNKRTB7DNGGCM3 \
  | 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: 97f9c93687147be83551987e3698c266cfe7da60a77bf42d1b58ab49e7fb9701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ea6b761a507ee7ef9a92c92838a6ebcc665cee9103e586d5e67b9e9539c8db",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-04T20:44:37Z",
    "title_canon_sha256": "ca00e08b3af574fa00ee0279b6f5a506c179e3cf1fea18459373c8981c94a5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01530",
    "kind": "arxiv",
    "version": 2
  }
}