Pith Number

pith:HUD6WGZE

pith:2014:HUD6WGZEJYTJWQO6QZAIRPICE7

not attested not anchored not stored refs pending

A definition of the coupled-product for multivariate coupled-exponentials

Kenric P. Nelson

arxiv:1410.4727 v3 · 2014-10-17 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUD6WGZEJYTJWQO6QZAIRPICE7}

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	2026-05-18T02:27:44.131448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d07eb1b244e269b41de864088bd0227e834e8c0f85e5a0223edc1d80d81bb3e

Aliases

arxiv: 1410.4727 · arxiv_version: 1410.4727v3 · doi: 10.48550/arxiv.1410.4727 · pith_short_12: HUD6WGZEJYTJ · pith_short_16: HUD6WGZEJYTJWQO6 · pith_short_8: HUD6WGZE

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/HUD6WGZEJYTJWQO6QZAIRPICE7 \
  | 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: 3d07eb1b244e269b41de864088bd0227e834e8c0f85e5a0223edc1d80d81bb3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27eb18388e6690b3d6a6580b02da2d5bbbc1fb0292d6650bd2052d91cc115da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-10-17T14:01:37Z",
    "title_canon_sha256": "d4dab4a1cb63c3a95ead4a46524c0deefc013df4455be57be932f4c719ff400f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4727",
    "kind": "arxiv",
    "version": 3
  }
}