Pith Number

pith:AV2BF3VC

pith:1999:AV2BF3VCAI3HAXWGTAY3AN6UO7

not attested not anchored not stored refs pending

Runge-Kutta methods and renormalization

Christian Brouder

arxiv:hep-th/9904014 v1 · 1999-04-02 · 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{AV2BF3VCAI3HAXWGTAY3AN6UO7}

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	2026-05-18T04:13:16.606477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057412eea20236705ec69831b037d477ff821b5343bd11f865e47f2b315522b3

Aliases

arxiv: hep-th/9904014 · arxiv_version: hep-th/9904014v1 · doi: 10.48550/arxiv.hep-th/9904014 · pith_short_12: AV2BF3VCAI3H · pith_short_16: AV2BF3VCAI3HAXWG · pith_short_8: AV2BF3VC

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/AV2BF3VCAI3HAXWGTAY3AN6UO7 \
  | 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: 057412eea20236705ec69831b037d477ff821b5343bd11f865e47f2b315522b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0deaf11f3cbd31bb97a5f5a78a93d6d7e0e25560feaf0016604b721b5591fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-04-02T16:06:38Z",
    "title_canon_sha256": "83d72ff723a6464b0bf44d5537f39746d3fb4b3f9f8d282bfed2b702849cc68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9904014",
    "kind": "arxiv",
    "version": 1
  }
}