Pith Number

pith:ZTIV5BWJ

pith:2012:ZTIV5BWJGJEIXCUUEGXIOB7K25

not attested not anchored not stored refs pending

Sum rules and three point functions

Justin R. David, Somyadip Thakur

arxiv:1207.3912 v1 · 2012-07-17 · 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{ZTIV5BWJGJEIXCUUEGXIOB7K25}

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	2026-05-18T01:56:17.617327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd15e86c932488b8a9421ae8707ead766536deef9a5d721eb444bb80e66b568

Aliases

arxiv: 1207.3912 · arxiv_version: 1207.3912v1 · doi: 10.48550/arxiv.1207.3912 · pith_short_12: ZTIV5BWJGJEI · pith_short_16: ZTIV5BWJGJEIXCUU · pith_short_8: ZTIV5BWJ

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/ZTIV5BWJGJEIXCUUEGXIOB7K25 \
  | 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: ccd15e86c932488b8a9421ae8707ead766536deef9a5d721eb444bb80e66b568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50d6f5378aa6b0ec3c192bb5b89a05111adac5a7505c62d06ea89d6cfe5c577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-17T08:35:13Z",
    "title_canon_sha256": "1dbb6504f5d53a99a3962f43c8fc6bd377d718624493b3f807d91ad226236422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3912",
    "kind": "arxiv",
    "version": 1
  }
}