Pith Number

pith:LPGZROUY

pith:2006:LPGZROUYTORTMXVGQ26RZ7Q63G

not attested not anchored not stored refs pending

Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory

Yuji Okawa (MIT)

arxiv:hep-th/0603159 v2 · 2006-03-21 · 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{LPGZROUYTORTMXVGQ26RZ7Q63G}

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

2 papers in Pith

Recursive-algebraic solution of the closed string tachyon vacuum equation

Receipt and verification

First computed	2026-07-04T17:01:52.908167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcd98ba989ba3365ea686bd1cfe1ed99db97d8ea9706af3e1ba0217a367c7f1

Aliases

arxiv: hep-th/0603159 · arxiv_version: hep-th/0603159v2 · doi: 10.48550/arxiv.hep-th/0603159 · pith_short_12: LPGZROUYTORT · pith_short_16: LPGZROUYTORTMXVG · pith_short_8: LPGZROUY

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/LPGZROUYTORTMXVGQ26RZ7Q63G \
  | 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: 5bcd98ba989ba3365ea686bd1cfe1ed99db97d8ea9706af3e1ba0217a367c7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f5f2b94d0e59de2a617977c91e2078ab76259797aa53d7e2e2a6d73c52abf13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-03-21T20:01:02Z",
    "title_canon_sha256": "05aa9779d5b77ca8eda1903de8b9c1fad25d6f0c4ce488763aa79bb7b8b2f820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0603159",
    "kind": "arxiv",
    "version": 2
  }
}