Pith Number

pith:TK4GMTBW

pith:2012:TK4GMTBW7H3P3IRTVVBB54ISEA

not attested not anchored not stored refs pending

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

B. Sathiapalan

arxiv:1209.1447 v2 · 2012-09-07 · 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{TK4GMTBW7H3P3IRTVVBB54ISEA}

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	2026-05-18T01:54:38.961028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab8664c36f9f6fda233ad421ef1122003860f2c0e03667cc94de777dd22de51

Aliases

arxiv: 1209.1447 · arxiv_version: 1209.1447v2 · doi: 10.48550/arxiv.1209.1447 · pith_short_12: TK4GMTBW7H3P · pith_short_16: TK4GMTBW7H3P3IRT · pith_short_8: TK4GMTBW

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/TK4GMTBW7H3P3IRTVVBB54ISEA \
  | 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: 9ab8664c36f9f6fda233ad421ef1122003860f2c0e03667cc94de777dd22de51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b2eacba0a6a0c31f987f22667cfe7784e1c0b3ba6c822584370a95318222e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-07T04:23:21Z",
    "title_canon_sha256": "c058938237d92de215dc2937ec85b54d30d16e5699a9e73050e9692f6dfb87d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1447",
    "kind": "arxiv",
    "version": 2
  }
}