Pith Number

pith:2KDQWAMR

pith:2010:2KDQWAMRNTQY5G3VJNR4XBE2JG

not attested not anchored not stored refs pending

The FZZ duality with boundary

Peter B. Ronne, Thomas Creutzig, Yasuaki Hikida

arxiv:1012.4731 v2 · 2010-12-21 · 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{2KDQWAMRNTQY5G3VJNR4XBE2JG}

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	2026-05-18T04:12:11.993199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2870b01916ce18e9b754b63cb849a49b29031b1eff019f761956051e1437a8f

Aliases

arxiv: 1012.4731 · arxiv_version: 1012.4731v2 · doi: 10.48550/arxiv.1012.4731 · pith_short_12: 2KDQWAMRNTQY · pith_short_16: 2KDQWAMRNTQY5G3V · pith_short_8: 2KDQWAMR

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/2KDQWAMRNTQY5G3VJNR4XBE2JG \
  | 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: d2870b01916ce18e9b754b63cb849a49b29031b1eff019f761956051e1437a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c32d5fe3447208a2484631ead691b2c99f3c62016918b88c26a8ab5f4b99e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-21T17:09:45Z",
    "title_canon_sha256": "4c53c59cc91dabfac5d70c507df078be5299c59f3d29378ce0895510def42990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4731",
    "kind": "arxiv",
    "version": 2
  }
}