Pith Number

pith:IBZJPX7C

pith:2015:IBZJPX7CK6USKCKD3WGPYTWAE7

not attested not anchored not stored refs pending

Synergy, Redundancy and Common Information

Pradeep Kr. Banerjee, Virgil Griffith

arxiv:1509.03706 v1 · 2015-09-12 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBZJPX7CK6USKCKD3WGPYTWAE7}

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	2026-05-18T01:33:14.778330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407297dfe257a9250943dd8cfc4ec027c91c6d787f5709950b032bba7a4ede68

Aliases

arxiv: 1509.03706 · arxiv_version: 1509.03706v1 · doi: 10.48550/arxiv.1509.03706 · pith_short_12: IBZJPX7CK6US · pith_short_16: IBZJPX7CK6USKCKD · pith_short_8: IBZJPX7C

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/IBZJPX7CK6USKCKD3WGPYTWAE7 \
  | 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: 407297dfe257a9250943dd8cfc4ec027c91c6d787f5709950b032bba7a4ede68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d409fedadc77ace6175082617ca13c87935f14186dcc3af9e64c2c8c98deed88",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-12T05:28:43Z",
    "title_canon_sha256": "95fdb486e195c843c90540903f221b90c608c7153548caee4ea3296e0d6fc249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03706",
    "kind": "arxiv",
    "version": 1
  }
}