Pith Number

pith:Q6S2CWVW

pith:2006:Q6S2CWVWIKDLGCWE5VFBJPIHZ3

not attested not anchored not stored refs pending

On matrix differential equations in the Hopf algebra of renormalization

Dominique Manchon, Kurusch Ebrahimi-Fard

arxiv:math-ph/0606039 v2 · 2006-06-16 · math-ph · hep-th · 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{Q6S2CWVWIKDLGCWE5VFBJPIHZ3}

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	2026-05-17T23:49:12.402274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a5a15ab64286b30ac4ed4a14bd07cee8e01a1b59c2941e5128269a028d89d0

Aliases

arxiv: math-ph/0606039 · arxiv_version: math-ph/0606039v2 · doi: 10.48550/arxiv.math-ph/0606039 · pith_short_12: Q6S2CWVWIKDL · pith_short_16: Q6S2CWVWIKDLGCWE · pith_short_8: Q6S2CWVW

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/Q6S2CWVWIKDLGCWE5VFBJPIHZ3 \
  | 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: 87a5a15ab64286b30ac4ed4a14bd07cee8e01a1b59c2941e5128269a028d89d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e401e64c7d877fd6a4d5515bc312109831459b58f44f599f68713cb6e0996263",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-06-16T16:31:08Z",
    "title_canon_sha256": "21a87bd879c10ea5aca4dd3300b721c9aeba1d55df0d24d3bb1af4d06d1e5320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0606039",
    "kind": "arxiv",
    "version": 2
  }
}