Pith Number

pith:PZ4QP33L

pith:1996:PZ4QP33LJF2UIZQY3DXDWU55WI

not attested not anchored not stored refs pending

BPS States of Exceptional Non-Critical Strings

A. Klemm, C. Vafa, P. Mayr

arxiv:hep-th/9607139 v2 · 1996-07-17 · 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{PZ4QP33LJF2UIZQY3DXDWU55WI}

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.

Cited by

1 paper in Pith

String probes, simple currents, and the no global symmetries conjecture

Receipt and verification

First computed	2026-07-04T16:02:19.628617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7907ef6b4975446618d8ee3b53bdb20f59e2256313baf0ffba15c95b5f62f5

Aliases

arxiv: hep-th/9607139 · arxiv_version: hep-th/9607139v2 · doi: 10.48550/arxiv.hep-th/9607139 · pith_short_12: PZ4QP33LJF2U · pith_short_16: PZ4QP33LJF2UIZQY · pith_short_8: PZ4QP33L

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/PZ4QP33LJF2UIZQY3DXDWU55WI \
  | 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: 7e7907ef6b4975446618d8ee3b53bdb20f59e2256313baf0ffba15c95b5f62f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e62a0d672b25be484f02f01a6ef8bb570190be891a0cf5815b1bd72fb0ed856",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-07-17T03:05:38Z",
    "title_canon_sha256": "c03f1a9361b943bd5daa55fd8ba3a9c2aa98f316608da50f836a0e59b0d37188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9607139",
    "kind": "arxiv",
    "version": 2
  }
}