Pith Number

pith:GU4HLRGX

pith:2012:GU4HLRGXM5PIN5VR5X3FXENSHM

not attested not anchored not stored refs pending

PT-symmetric interpretation of double-scaling

Carl M. Bender, Moshe Moshe, Sarben Sarkar

arxiv:1206.4943 v2 · 2012-06-21 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GU4HLRGXM5PIN5VR5X3FXENSHM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:56:49.498692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353875c4d7675e86f6b1edf65b91b23b34d4fa7a954507af04f233051eb5e522

Aliases

arxiv: 1206.4943 · arxiv_version: 1206.4943v2 · doi: 10.48550/arxiv.1206.4943 · pith_short_12: GU4HLRGXM5PI · pith_short_16: GU4HLRGXM5PIN5VR · pith_short_8: GU4HLRGX

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/GU4HLRGXM5PIN5VR5X3FXENSHM \
  | 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: 353875c4d7675e86f6b1edf65b91b23b34d4fa7a954507af04f233051eb5e522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997500049aff23a9c5ddc00e3e489d2fe0feea693c364ad214b2fb424ae7afb0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-21T16:59:25Z",
    "title_canon_sha256": "a9345d65999f71e8a181ddb78a88a4e2e16655dab1f0b0068f62df1dab904c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4943",
    "kind": "arxiv",
    "version": 2
  }
}