Pith Number

pith:GZZ2KEPC

pith:2015:GZZ2KEPCCA4PYYZPT2GAECHXTT

not attested not anchored not stored refs pending

Mapping the Region of Entropic Vectors with Support Enumeration & Information Geometry

John MacLaren Walsh, Yunshu Liu

arxiv:1512.03324 v1 · 2015-12-10 · 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{GZZ2KEPCCA4PYYZPT2GAECHXTT}

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	2026-05-18T01:24:37.425203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3673a511e21038fc632f9e8c0208f79ce032348f366c110f1a81ec8f7a987374

Aliases

arxiv: 1512.03324 · arxiv_version: 1512.03324v1 · doi: 10.48550/arxiv.1512.03324 · pith_short_12: GZZ2KEPCCA4P · pith_short_16: GZZ2KEPCCA4PYYZP · pith_short_8: GZZ2KEPC

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/GZZ2KEPCCA4PYYZPT2GAECHXTT \
  | 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: 3673a511e21038fc632f9e8c0208f79ce032348f366c110f1a81ec8f7a987374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae04134ec02aa7a00928bf1da28d2f92455d15817c9762a96737c75b8fbd694",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-10T16:57:59Z",
    "title_canon_sha256": "4259de8324c2a3b3d310e9987a9e30040ad00750e3267fd75395b3507c8aece4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03324",
    "kind": "arxiv",
    "version": 1
  }
}