Pith Number

pith:2KQQD7CD

pith:2014:2KQQD7CD2XKNIOBBVKB4TEAUXK

not attested not anchored not stored refs pending

Wilson loops and minimal area surfaces in hyperbolic space

Martin Kruczenski

arxiv:1406.4945 v1 · 2014-06-19 · 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{2KQQD7CD2XKNIOBBVKB4TEAUXK}

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	2026-05-18T01:42:53.169754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a101fc43d5d4d43821aa83c99014baa4061e2c803a8bc67f54023ff3949a5c

Aliases

arxiv: 1406.4945 · arxiv_version: 1406.4945v1 · doi: 10.48550/arxiv.1406.4945 · pith_short_12: 2KQQD7CD2XKN · pith_short_16: 2KQQD7CD2XKNIOBB · pith_short_8: 2KQQD7CD

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/2KQQD7CD2XKNIOBBVKB4TEAUXK \
  | 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: d2a101fc43d5d4d43821aa83c99014baa4061e2c803a8bc67f54023ff3949a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f98010f794c05d920c64e3de007e65246ca1d8b88006ab23b430031650bd97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-19T04:35:59Z",
    "title_canon_sha256": "48b24d583b880034fc342af24c8e99bd88012a25d49081022e33ca39ec8eea54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4945",
    "kind": "arxiv",
    "version": 1
  }
}