Pith Number

pith:5NCXRGN2

pith:2005:5NCXRGN2KCJG5L2X3EGHXCM4JJ

not attested not anchored not stored refs pending

Logarithmic torus amplitudes

Matthias R. Gaberdiel, Michael Flohr

arxiv:hep-th/0509075 v1 · 2005-09-11 · hep-th · math-ph · 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{5NCXRGN2KCJG5L2X3EGHXCM4JJ}

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	2026-07-04T14:48:34.620996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb457899ba50926eaf57d90c7b899c4a79b1ee0c964c143fd72dd5c1b4275209

Aliases

arxiv: hep-th/0509075 · arxiv_version: hep-th/0509075v1 · doi: 10.48550/arxiv.hep-th/0509075 · pith_short_12: 5NCXRGN2KCJG · pith_short_16: 5NCXRGN2KCJG5L2X · pith_short_8: 5NCXRGN2

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/5NCXRGN2KCJG5L2X3EGHXCM4JJ \
  | 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: eb457899ba50926eaf57d90c7b899c4a79b1ee0c964c143fd72dd5c1b4275209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d880c7bb930cfa6c70eb8cd0d5758504eaae5bd0f13deb13b4479065555453",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-11T07:40:05Z",
    "title_canon_sha256": "6c5870090e27f06b81af2327b5bea5fbe4d1228fc42fd12613b494b2b76fd723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509075",
    "kind": "arxiv",
    "version": 1
  }
}