Pith Number

pith:F5AG4NGR

pith:2026:F5AG4NGRLW2QBO6FRN7DCLYYZ2

not attested not anchored not stored refs pending

Guarded Realization Semantics: Occurrence-Sensitive Certificates and Behavior-Dependent Lower Bounds

Seungju Lee

arxiv:2607.23567 v1 · 2026-07-26 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5AG4NGRLW2QBO6FRN7DCLYYZ2}

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	2026-07-28T01:22:59.700183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f406e34d15db500bbc58b7e312f18cebe08b742785cb97a9cf241a44c7ecfeb

Aliases

arxiv: 2607.23567 · arxiv_version: 2607.23567v1 · doi: 10.48550/arxiv.2607.23567 · pith_short_12: F5AG4NGRLW2Q · pith_short_16: F5AG4NGRLW2QBO6F · pith_short_8: F5AG4NGR

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/F5AG4NGRLW2QBO6FRN7DCLYYZ2 \
  | 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: 2f406e34d15db500bbc58b7e312f18cebe08b742785cb97a9cf241a44c7ecfeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42108fec6cf2920b76f663d40b796685be4a07f39abc00e27bc63d740230483e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-26T09:33:15Z",
    "title_canon_sha256": "e063af1d7942dfb4c563c4c99d4604e444ea363094f44a0002dd13e329564476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23567",
    "kind": "arxiv",
    "version": 1
  }
}