Pith Number

pith:WZHJGKXS

pith:2008:WZHJGKXSNOZ6WWCWKUYA5L7Y54

not attested not anchored not stored refs pending

Wilsonian renormalization, differential equations and Hopf algebras

Pierre Martinetti, Thomas Krajewski

arxiv:0806.4309 v2 · 2008-06-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZHJGKXSNOZ6WWCWKUYA5L7Y54}

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	2026-05-18T04:13:07.282134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b64e932af26bb3eb585655300eaff8ef36603ff30b5477fd3c54c8c1e11e9295

Aliases

arxiv: 0806.4309 · arxiv_version: 0806.4309v2 · doi: 10.48550/arxiv.0806.4309 · pith_short_12: WZHJGKXSNOZ6 · pith_short_16: WZHJGKXSNOZ6WWCW · pith_short_8: WZHJGKXS

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/WZHJGKXSNOZ6WWCWKUYA5L7Y54 \
  | 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: b64e932af26bb3eb585655300eaff8ef36603ff30b5477fd3c54c8c1e11e9295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc41b4177df0d9359bc683e13b117d515a8e9ce70acd4dcfd1382b387800829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-06-26T14:29:21Z",
    "title_canon_sha256": "1db888fbd831742840e78812165718f0961db1b250438c210cd61afc2abf7650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4309",
    "kind": "arxiv",
    "version": 2
  }
}