Pith Number

pith:BFPDJM55

pith:2014:BFPDJM55VJEW6ZMKLDBGW5SHBS

not attested not anchored not stored refs pending

Playing with functions of positive type, classical and quantum

Paolo Aniello

arxiv:1411.1304 v1 · 2014-11-05 · 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{BFPDJM55VJEW6ZMKLDBGW5SHBS}

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	2026-05-18T02:38:35.780369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095e34b3bdaa496f658a58c26b76470cb30193acd629e5e4d720aa580eaf910a

Aliases

arxiv: 1411.1304 · arxiv_version: 1411.1304v1 · doi: 10.48550/arxiv.1411.1304 · pith_short_12: BFPDJM55VJEW · pith_short_16: BFPDJM55VJEW6ZMK · pith_short_8: BFPDJM55

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/BFPDJM55VJEW6ZMKLDBGW5SHBS \
  | 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: 095e34b3bdaa496f658a58c26b76470cb30193acd629e5e4d720aa580eaf910a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bb9ad7f3647fa7d99cdba0175ed4ccf1a9109979c187d2c375b6f187281c95",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-05T15:57:13Z",
    "title_canon_sha256": "7a0d428dbe7480c77ac536fa5cde975b4d111a0940b782e890dd9aafaa1969ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1304",
    "kind": "arxiv",
    "version": 1
  }
}