Pith Number

pith:CQ4VT4X2

pith:2003:CQ4VT4X2FC2P37Z7KUDXJ27WK4

not attested not anchored not stored refs pending

Strings in plane wave backgrounds

A. Pankiewicz

arxiv:hep-th/0307027 v2 · 2003-07-02 · 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{CQ4VT4X2FC2P37Z7KUDXJ27WK4}

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

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Receipt and verification

First computed	2026-07-04T16:41:19.498541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143959f2fa28b4fdff3f550774ebf65739c749276d466a04df8e010407f30ae0

Aliases

arxiv: hep-th/0307027 · arxiv_version: hep-th/0307027v2 · doi: 10.48550/arxiv.hep-th/0307027 · pith_short_12: CQ4VT4X2FC2P · pith_short_16: CQ4VT4X2FC2P37Z7 · pith_short_8: CQ4VT4X2

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/CQ4VT4X2FC2P37Z7KUDXJ27WK4 \
  | 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: 143959f2fa28b4fdff3f550774ebf65739c749276d466a04df8e010407f30ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ece46a6305ea9335aa37852b0d6240880ff0cc5e946b165d63732655ee708db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-07-02T17:24:46Z",
    "title_canon_sha256": "6a725106196f9d7ae000ded5a842a0d84c55aec60045dc67f7cb0f77efdacfcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0307027",
    "kind": "arxiv",
    "version": 2
  }
}