Pith Number

pith:4IBG56IQ

pith:2015:4IBG56IQW6R6CNHLJNX72DHSAI

not attested not anchored not stored refs pending

Relative tail entropy for random bundle transformations

Ercai Chen, Xianfeng Ma

arxiv:1508.07271 v2 · 2015-08-28 · 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{4IBG56IQW6R6CNHLJNX72DHSAI}

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	2026-05-18T01:12:19.989672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2026ef910b7a3e134eb4b6ffd0cf2021c694b65279557fcafad01bf0ea084ba

Aliases

arxiv: 1508.07271 · arxiv_version: 1508.07271v2 · doi: 10.48550/arxiv.1508.07271 · pith_short_12: 4IBG56IQW6R6 · pith_short_16: 4IBG56IQW6R6CNHL · pith_short_8: 4IBG56IQ

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/4IBG56IQW6R6CNHLJNX72DHSAI \
  | 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: e2026ef910b7a3e134eb4b6ffd0cf2021c694b65279557fcafad01bf0ea084ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef655d5fbb306f9e0beccec06f5295bcfaf00edbcabb460207f88364dcbc8c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-28T16:46:50Z",
    "title_canon_sha256": "c7a8e444a855d65750db06e865cc5f79a6db98f7c4c6f57539d9d17bdb5af17c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07271",
    "kind": "arxiv",
    "version": 2
  }
}