Pith Number

pith:TWNKAJ4F

pith:2007:TWNKAJ4FVXWXOOXOWJ3O3EGX7Z

not attested not anchored not stored refs pending

Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of N_f

Masafumi Kurachi, Robert Shrock

arxiv:hep-ph/0703054 v1 · 2007-03-05 · 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{TWNKAJ4FVXWXOOXOWJ3O3EGX7Z}

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	2026-05-18T00:37:10.806228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9aa02785aded773aeeb276ed90d7fe72463fa5ead2343aa2532eb094050984

Aliases

arxiv: hep-ph/0703054 · arxiv_version: hep-ph/0703054v1 · doi: 10.48550/arxiv.hep-ph/0703054 · pith_short_12: TWNKAJ4FVXWX · pith_short_16: TWNKAJ4FVXWXOOXO · pith_short_8: TWNKAJ4F

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/TWNKAJ4FVXWXOOXOWJ3O3EGX7Z \
  | 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: 9d9aa02785aded773aeeb276ed90d7fe72463fa5ead2343aa2532eb094050984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d266b7ea806925f8473248da213ae0476290d3680e19da913f948096f4edd2b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-03-05T20:32:09Z",
    "title_canon_sha256": "9c6b7c3e046517b9b16e6a2603f2f527580bad7e716bc96fd95a854eb69349b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0703054",
    "kind": "arxiv",
    "version": 1
  }
}