Pith Number

pith:SP6SFATJ

pith:2002:SP6SFATJYCKBYID7TUFQT2GERU

not attested not anchored not stored refs pending

The Presentation of the Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: Calculation up to Order \hbar^7

C. Paufler, G. Handrich, J. B. Tausk, M. Walter

arxiv:math-ph/0210024 v2 · 2002-10-11 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP6SFATJYCKBYID7TUFQT2GERU}

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	2026-07-04T16:35:11.776277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fd228269c0941c207f9d0b09e8c48d3d7840f6c1778cf23b83d3d11ad59fba

Aliases

arxiv: math-ph/0210024 · arxiv_version: math-ph/0210024v2 · doi: 10.48550/arxiv.math-ph/0210024 · pith_short_12: SP6SFATJYCKB · pith_short_16: SP6SFATJYCKBYID7 · pith_short_8: SP6SFATJ

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/SP6SFATJYCKBYID7TUFQT2GERU \
  | 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: 93fd228269c0941c207f9d0b09e8c48d3d7840f6c1778cf23b83d3d11ad59fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c6e9d4e3b854e89ca424e98eba359969a2c150c2ec9c65272eb3a61d170692",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-10-11T14:02:34Z",
    "title_canon_sha256": "86b5ed204e78fbd70f3a836cde7e2908ef4efd14544e5ca6f3b93517c82355eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0210024",
    "kind": "arxiv",
    "version": 2
  }
}