Pith Number

pith:AXUYK6U2

pith:2013:AXUYK6U2HGUTN6PIK5C4C4KBDE

not attested not anchored not stored refs pending

Geometry and topology of CC and CQ states

Adam Sawicki, Micha{\l} Oszmaniec, Piotr Suwara

arxiv:1305.3660 v3 · 2013-05-16 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXUYK6U2HGUTN6PIK5C4C4KBDE}

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	2026-05-18T01:22:49.091564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e9857a9a39a936f9e85745c17141192c893cddcc10bb9afc9f16b1c6985200

Aliases

arxiv: 1305.3660 · arxiv_version: 1305.3660v3 · doi: 10.48550/arxiv.1305.3660 · pith_short_12: AXUYK6U2HGUT · pith_short_16: AXUYK6U2HGUTN6PI · pith_short_8: AXUYK6U2

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/AXUYK6U2HGUTN6PIK5C4C4KBDE \
  | 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: 05e9857a9a39a936f9e85745c17141192c893cddcc10bb9afc9f16b1c6985200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b3f24ad4e4d3449257f030d357991d93f2754a1db8410d1e92f271695044cf",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-16T00:07:39Z",
    "title_canon_sha256": "cfa50d0414c13c143b935f6145e2112e79bbd5b076c8682f079eb4c8530f3aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3660",
    "kind": "arxiv",
    "version": 3
  }
}