Pith Number

pith:TQFEAKMP

pith:2016:TQFEAKMP62Y3SI3LYPF4N3GTQ5

not attested not anchored not stored refs pending

Heuristic Relative Entropy Principles with Complex Measures: Large-Degree Asymptotics of a Family of Multi-Variate Normal Random Polynomials

Michael K.-H. Kiessling

arxiv:1608.08931 v3 · 2016-08-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQFEAKMP62Y3SI3LYPF4N3GTQ5}

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	2026-05-18T00:27:53.159509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0a40298ff6b1b9236bc3cbc6ecd3874f2b6c3c8a860d2154f2ce9225a42d64

Aliases

arxiv: 1608.08931 · arxiv_version: 1608.08931v3 · doi: 10.48550/arxiv.1608.08931 · pith_short_12: TQFEAKMP62Y3 · pith_short_16: TQFEAKMP62Y3SI3L · pith_short_8: TQFEAKMP

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/TQFEAKMP62Y3SI3LYPF4N3GTQ5 \
  | 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: 9c0a40298ff6b1b9236bc3cbc6ecd3874f2b6c3c8a860d2154f2ce9225a42d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b26b2d64deb15a9fa2ee1da6473bfaff90d614f1b7312f26fc9d3277b75b078b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-31T16:38:08Z",
    "title_canon_sha256": "cd69815fb54172b3b88aed947689e14ceb24a3236c8a4e135c429931c4763ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08931",
    "kind": "arxiv",
    "version": 3
  }
}