Pith Number

pith:37ZFIDAX

pith:2003:37ZFIDAXUUA356YM4WYEEAYW42

not attested not anchored not stored refs pending

The Price of an Exact, Gauge-Invariant RG-Flow Equation

G. Veneziano, K.A. Meissner, V. Branchina

arxiv:hep-th/0309234 v1 · 2003-09-25 · 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{37ZFIDAXUUA356YM4WYEEAYW42}

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	2026-05-18T01:38:46.626018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44

Aliases

arxiv: hep-th/0309234 · arxiv_version: hep-th/0309234v1 · doi: 10.48550/arxiv.hep-th/0309234 · pith_short_12: 37ZFIDAXUUA3 · pith_short_16: 37ZFIDAXUUA356YM · pith_short_8: 37ZFIDAX

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/37ZFIDAXUUA356YM4WYEEAYW42 \
  | 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: dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a71e16d8e6b98607b69f9d3176cadb004a4e1b1fd4ba65805089fb8d22e81e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-09-25T15:07:47Z",
    "title_canon_sha256": "ff08c2e1578e47f966bdf363288caaf73f1f30ce6d64531bb14007972dfa9258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0309234",
    "kind": "arxiv",
    "version": 1
  }
}