Pith Number

pith:NP4IC5KZ

pith:2005:NP4IC5KZL4QG3VZUZH4OIAPXF7

not attested not anchored not stored refs pending

Hidden Modulus in the Extended Veneziano-Yankielowicz Theory

Francesco Sannino (Bohr Inst.), Roberto Auzzi (TPI, Univ. of Minnesota)

arxiv:hep-th/0509166 v3 · 2005-09-21 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NP4IC5KZL4QG3VZUZH4OIAPXF7}

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	2026-05-18T04:34:10.437128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf88175595f206dd734c9f8e401f72fe70bcd04d8f5f7fad01b388d97ab9fd4

Aliases

arxiv: hep-th/0509166 · arxiv_version: hep-th/0509166v3 · doi: 10.48550/arxiv.hep-th/0509166 · pith_short_12: NP4IC5KZL4QG · pith_short_16: NP4IC5KZL4QG3VZU · pith_short_8: NP4IC5KZ

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/NP4IC5KZL4QG3VZUZH4OIAPXF7 \
  | 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: 6bf88175595f206dd734c9f8e401f72fe70bcd04d8f5f7fad01b388d97ab9fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7ef62eb079dd2a3437e54f6d9e34154d90304994ab59ac327241e89e60f91c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-21T16:29:17Z",
    "title_canon_sha256": "40891197e7c4a2f310551355a4da766176bc0c208ec236b1d45d31c635ec620c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509166",
    "kind": "arxiv",
    "version": 3
  }
}