Pith Number

pith:E2ZGTHI2

pith:2012:E2ZGTHI27W6SIFNPDYNMELQRKG

not attested not anchored not stored refs pending

Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory

B. Sathiapalan

arxiv:1202.4298 v2 · 2012-02-20 · 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{E2ZGTHI27W6SIFNPDYNMELQRKG}

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	2026-05-18T01:58:23.595744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b2699d1afdbd2415af1e1ac22e1151ace5a6c847a4f3b29a256c419f118b7d

Aliases

arxiv: 1202.4298 · arxiv_version: 1202.4298v2 · doi: 10.48550/arxiv.1202.4298 · pith_short_12: E2ZGTHI27W6S · pith_short_16: E2ZGTHI27W6SIFNP · pith_short_8: E2ZGTHI2

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/E2ZGTHI27W6SIFNPDYNMELQRKG \
  | 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: 26b2699d1afdbd2415af1e1ac22e1151ace5a6c847a4f3b29a256c419f118b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6ff616c9b1e3f13ebb2f6b61e4e784910e5312f7c5eb60dfc75d78ee6d892d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-20T12:08:48Z",
    "title_canon_sha256": "1e4307d96abe903247820452485a5712684ff569de0bc697b732f503e111fa64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4298",
    "kind": "arxiv",
    "version": 2
  }
}