Pith Number

pith:MBYC3WG4

pith:2010:MBYC3WG4S7H35PVOTR5JV3TFTU

not attested not anchored not stored refs pending

From Quantum Mechanics to Quantum Field Theory: The Hopf route

Allan I. Solomon (LPTMC), Andrzej Horzela (IFJ-PAN - Polish Academy of Sciences), G\'erard Henry Edmond Duchamp (LIPN), Karol A. Penson (LPTMC), Pawel Blasiak (IFJ-PAN - Polish Academy of Sciences)

arxiv:1011.0524 v1 · 2010-11-02 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBYC3WG4S7H35PVOTR5JV3TFTU}

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	2026-05-18T04:23:02.756021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60702dd8dc97cfbebeae9c7a9aee659d315c6e4edd5e58a3063e120d1a116f2a

Aliases

arxiv: 1011.0524 · arxiv_version: 1011.0524v1 · doi: 10.48550/arxiv.1011.0524 · pith_short_12: MBYC3WG4S7H3 · pith_short_16: MBYC3WG4S7H35PVO · pith_short_8: MBYC3WG4

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/MBYC3WG4S7H35PVOTR5JV3TFTU \
  | 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: 60702dd8dc97cfbebeae9c7a9aee659d315c6e4edd5e58a3063e120d1a116f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489388c7b4372ddec25c2964c7ebf7f214af6e1b28218a1f325205b79b38a909",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-02T06:53:56Z",
    "title_canon_sha256": "e64eabce026e5cc0906c698b32b8aac23a5fc2eac4cf603a1939f52f6dbd5c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0524",
    "kind": "arxiv",
    "version": 1
  }
}