Pith Number

pith:C337CKIS

pith:2026:C337CKISJC7ETFSPE6ETROHWM5

not attested not anchored not stored refs pending

The combinatorics of sector renormalization

Willie Rush Lim

arxiv:2607.11408 v1 · 2026-07-13 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C337CKISJC7ETFSPE6ETROHWM5}

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	2026-07-14T02:22:00.684450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f7f1291248be49964f278938b8f667712679f722040f8fbce4a29f3c992d8c

Aliases

arxiv: 2607.11408 · arxiv_version: 2607.11408v1 · doi: 10.48550/arxiv.2607.11408 · pith_short_12: C337CKISJC7E · pith_short_16: C337CKISJC7ETFSP · pith_short_8: C337CKIS

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/C337CKISJC7ETFSPE6ETROHWM5 \
  | 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: 16f7f1291248be49964f278938b8f667712679f722040f8fbce4a29f3c992d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7d16953af64ed775b4b0fccc0e15d2aece167848168d54403ef27f0771f019",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-13T11:15:01Z",
    "title_canon_sha256": "3d4a83d7d11d878956cfe6dac14d2e79f1af482af1122f90f84d2d1b6d48ba6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11408",
    "kind": "arxiv",
    "version": 1
  }
}