Pith Number

pith:TMKDIKK6

pith:2013:TMKDIKK6IZFV3QTBTV2LY2JETW

not attested not anchored not stored refs pending

Convex bodies of states and maps

Alberto Ibort, Giuseppe Marmo, Janusz Grabowski, Marek Ku\'s

arxiv:1306.3187 v1 · 2013-06-13 · 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{TMKDIKK6IZFV3QTBTV2LY2JETW}

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	2026-05-18T01:49:22.680179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1434295e464b5dc2619d74bc69249db4022688fe5c04fd9da442703009a2bc

Aliases

arxiv: 1306.3187 · arxiv_version: 1306.3187v1 · doi: 10.48550/arxiv.1306.3187 · pith_short_12: TMKDIKK6IZFV · pith_short_16: TMKDIKK6IZFV3QTB · pith_short_8: TMKDIKK6

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/TMKDIKK6IZFV3QTBTV2LY2JETW \
  | 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: 9b1434295e464b5dc2619d74bc69249db4022688fe5c04fd9da442703009a2bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761c5178bd7dc5e4fa42f3f25203b6e180d97e1954deb37f37b57a7445e9fcb7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-13T18:33:33Z",
    "title_canon_sha256": "2beec1166c244f9b5659562150ed9c4117763587f89e8d9150aaaed3f87dda9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3187",
    "kind": "arxiv",
    "version": 1
  }
}