Pith Number

pith:BPQXTNGX

pith:2026:BPQXTNGXA3TJDXSORRV3JMWXVN

not attested not anchored not stored refs pending

Engineered Complete Intersections: Algorithmic Aspects

Alexander Esterov, Rafael Mohr, Yulia Mukhina

arxiv:2607.23622 v1 · 2026-07-26 · cs.SC · 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{BPQXTNGXA3TJDXSORRV3JMWXVN}

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	2026-07-28T01:23:02.324915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be179b4d706e691de4e8c6bb4b2d7ab5a0c90284f2b474008339aad958a91c2

Aliases

arxiv: 2607.23622 · arxiv_version: 2607.23622v1 · doi: 10.48550/arxiv.2607.23622 · pith_short_12: BPQXTNGXA3TJ · pith_short_16: BPQXTNGXA3TJDXSO · pith_short_8: BPQXTNGX

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/BPQXTNGXA3TJDXSORRV3JMWXVN \
  | 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: 0be179b4d706e691de4e8c6bb4b2d7ab5a0c90284f2b474008339aad958a91c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1f1ebeb714cf16375924c414f1b11d218001448244f3880f7c928c6dc3596e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-07-26T12:12:06Z",
    "title_canon_sha256": "9d9f6ea40f04d56c9adc7908b3221a2eee865ef2321ed368fd3caf8bdb11e669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23622",
    "kind": "arxiv",
    "version": 1
  }
}