Pith Number

pith:VCPI3KZP

pith:2006:VCPI3KZPQQ7BTSWVUT3B4CZEMY

not attested not anchored not stored refs pending

The logarithmic triplet theory with boundary

Ingo Runkel, Matthias R Gaberdiel

arxiv:hep-th/0608184 v2 · 2006-08-25 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCPI3KZPQQ7BTSWVUT3B4CZEMY}

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	2026-07-04T17:02:04.030117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89e8dab2f843e19cad5a4f61e0b24662c9473e351b620d989e58b80c4169a28

Aliases

arxiv: hep-th/0608184 · arxiv_version: hep-th/0608184v2 · doi: 10.48550/arxiv.hep-th/0608184 · pith_short_12: VCPI3KZPQQ7B · pith_short_16: VCPI3KZPQQ7BTSWV · pith_short_8: VCPI3KZP

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/VCPI3KZPQQ7BTSWVUT3B4CZEMY \
  | 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: a89e8dab2f843e19cad5a4f61e0b24662c9473e351b620d989e58b80c4169a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ad3df72e9abba51aa55860fd783924a1ccb9d0b0d5e2fc02f50afa8c2907f6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-08-25T11:27:26Z",
    "title_canon_sha256": "e5f43dca016e844360b5de7ac849abd8b070cb80fc29e76ffefd082f647b4a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0608184",
    "kind": "arxiv",
    "version": 2
  }
}