Pith Number

pith:EKX4JGDX

pith:2016:EKX4JGDXE433BVY7WHQQBZATPA

not attested not anchored not stored refs pending

Systematic Measures of Biological Networks, Part I: Invariant measures and Entropy

Yao Li, Yingfei Yi

arxiv:1601.00714 v2 · 2016-01-05 · 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{EKX4JGDXE433BVY7WHQQBZATPA}

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	2026-05-18T01:12:37.867607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22afc498772737b0d71fb1e100e4137834b1ccd2a84c51200016ee65a6e5622e

Aliases

arxiv: 1601.00714 · arxiv_version: 1601.00714v2 · doi: 10.48550/arxiv.1601.00714 · pith_short_12: EKX4JGDXE433 · pith_short_16: EKX4JGDXE433BVY7 · pith_short_8: EKX4JGDX

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/EKX4JGDXE433BVY7WHQQBZATPA \
  | 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: 22afc498772737b0d71fb1e100e4137834b1ccd2a84c51200016ee65a6e5622e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340068a24c36b1e3275348257ce4a291544fe07aae683fe5cc489ad83a832e4b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-05T02:12:02Z",
    "title_canon_sha256": "41fba23e7aca306017b35f025c8051af207a38c2259458e2d810f9ca37ce616a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00714",
    "kind": "arxiv",
    "version": 2
  }
}