Pith Number

pith:VXDO4O2O

pith:2026:VXDO4O2O5FJ3FPYMJY35CEMUEN

not attested not anchored not stored refs pending

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration

Daisuke Ishii, Rizwan Jahangir

arxiv:2601.05678 v2 · 2026-01-09 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXDO4O2O5FJ3FPYMJY35CEMUEN}

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.

Cited by

1 paper in Pith

Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions

Receipt and verification

First computed	2026-07-21T02:21:28.772710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc6ee3b4ee953b2bf0c4e37d11194234d314bd0d9ce02396e8dc1ddf229f66e

Aliases

arxiv: 2601.05678 · arxiv_version: 2601.05678v2 · doi: 10.48550/arxiv.2601.05678 · pith_short_12: VXDO4O2O5FJ3 · pith_short_16: VXDO4O2O5FJ3FPYM · pith_short_8: VXDO4O2O

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/VXDO4O2O5FJ3FPYMJY35CEMUEN \
  | 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: adc6ee3b4ee953b2bf0c4e37d11194234d314bd0d9ce02396e8dc1ddf229f66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43833ada77240425453838f3f6ab2e1af16e7bb3c25e0da5eddd82fbf80d7d34",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-09T09:53:35Z",
    "title_canon_sha256": "dc93c8e98ffbbaa1d5e1a053a730550c458172b1f427d925c2610e7256129ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05678",
    "kind": "arxiv",
    "version": 2
  }
}