Pith Number

pith:LWROUKF7

pith:2013:LWROUKF7NLGB5RAIUSQJZDMAZI

not attested not anchored not stored refs pending

Schwinger-Dyson equations: classical and quantum

James A. Mingo, Roland Speicher

arxiv:1307.1806 v1 · 2013-07-06 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWROUKF7NLGB5RAIUSQJZDMAZI}

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	2026-05-18T03:19:03.445951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da2ea28bf6acc1ec408a4a09c8d80ca05603c4daab95e82fbc768ab967c2a56

Aliases

arxiv: 1307.1806 · arxiv_version: 1307.1806v1 · doi: 10.48550/arxiv.1307.1806 · pith_short_12: LWROUKF7NLGB · pith_short_16: LWROUKF7NLGB5RAI · pith_short_8: LWROUKF7

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/LWROUKF7NLGB5RAIUSQJZDMAZI \
  | 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: 5da2ea28bf6acc1ec408a4a09c8d80ca05603c4daab95e82fbc768ab967c2a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e018f5dbb2bbec606b278d688c4dc7e0567e20a60ad6f2e397d4c5c7988e0a80",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-06T19:06:33Z",
    "title_canon_sha256": "2b7eee3410f7d8773cd2681a0e5581afca69c84cf4fbc1a6edd8f5526f743428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1806",
    "kind": "arxiv",
    "version": 1
  }
}