Pith Number

pith:U5WLUN43

pith:2009:U5WLUN43VIWPKM2GCNZAS3DCI3

not attested not anchored not stored refs pending

Quantum Phases of a Vortex String

Roberto Auzzi, S. Prem Kumar

arxiv:0908.4278 v2 · 2009-08-31 · hep-th · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5WLUN43VIWPKM2GCNZAS3DCI3}

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	2026-05-18T04:24:27.794611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76cba379baa2cf533461372096c6246e97e2a9a85e6396a5323def47273a5e1

Aliases

arxiv: 0908.4278 · arxiv_version: 0908.4278v2 · doi: 10.48550/arxiv.0908.4278 · pith_short_12: U5WLUN43VIWP · pith_short_16: U5WLUN43VIWPKM2G · pith_short_8: U5WLUN43

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/U5WLUN43VIWPKM2GCNZAS3DCI3 \
  | 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: a76cba379baa2cf533461372096c6246e97e2a9a85e6396a5323def47273a5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7d890d642eb6c95cc758014aec7d4c6fa7db1ab6716e62f45d37962ad8d54e",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-08-31T08:50:29Z",
    "title_canon_sha256": "1da10e90b173025d644d9a732361efdd793719636e6786f39a78ba2ad631e792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4278",
    "kind": "arxiv",
    "version": 2
  }
}