Pith Number

pith:VRETSQ7Y

pith:2026:VRETSQ7YMS3LI2LNBEJVADSM5Y

not attested not anchored not stored refs pending

Comment on 'Primary Dimensions'

A. Celis, C. Krause, G. Buchalla, O. Cat\`a

arxiv:2607.13958 v1 · 2026-07-15 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRETSQ7YMS3LI2LNBEJVADSM5Y}

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	2026-07-16T01:23:16.517285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac493943f864b6b4696d0913500e4cee2ec32eb9441f1f4e31898ddbef25fc69

Aliases

arxiv: 2607.13958 · arxiv_version: 2607.13958v1 · doi: 10.48550/arxiv.2607.13958 · pith_short_12: VRETSQ7YMS3L · pith_short_16: VRETSQ7YMS3LI2LN · pith_short_8: VRETSQ7Y

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/VRETSQ7YMS3LI2LNBEJVADSM5Y \
  | 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: ac493943f864b6b4696d0913500e4cee2ec32eb9441f1f4e31898ddbef25fc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dfd15153d242c494b21f46dfa3b18269ded8528faebd346f315f6c91ce5684",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-15T15:45:55Z",
    "title_canon_sha256": "9f9b7e574a150b31b56bc201454c753fb4f0b2bbabbf109c85948409c8f434bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13958",
    "kind": "arxiv",
    "version": 1
  }
}