Pith Number

pith:NBV3PWPK

pith:2018:NBV3PWPKTJC6CKBUZ2UWQQG2DB

not attested not anchored not stored refs pending

On Relative Entropy and Global Index

Feng Xu

arxiv:1812.01119 v2 · 2018-12-03 · math-ph · hep-th · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBV3PWPKTJC6CKBUZ2UWQQG2DB}

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	2026-05-17T23:56:27.489809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686bb7d9ea9a45e12834cea96840da1860b2d78f085ac8a0f61aa9afed75e4c1

Aliases

arxiv: 1812.01119 · arxiv_version: 1812.01119v2 · doi: 10.48550/arxiv.1812.01119 · pith_short_12: NBV3PWPKTJC6 · pith_short_16: NBV3PWPKTJC6CKBU · pith_short_8: NBV3PWPK

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/NBV3PWPKTJC6CKBUZ2UWQQG2DB \
  | 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: 686bb7d9ea9a45e12834cea96840da1860b2d78f085ac8a0f61aa9afed75e4c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea5d549218f136509362f4315860dd63cc184176880c59c9c779dc43ac384db",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-03T22:51:04Z",
    "title_canon_sha256": "0fdb87d0eec2541332379d66c6f988a8c649d32c269e1a1686d6c829958d4a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01119",
    "kind": "arxiv",
    "version": 2
  }
}