Pith Number

pith:BOMC3L7O

pith:2026:BOMC3L7OSEONFT622CZ5ABTGT4

not attested not anchored not stored refs pending

On the Existence of Minimal Parametric Networks

Arsen Kh. Galstyan

arxiv:2607.23351 v1 · 2026-07-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOMC3L7OSEONFT622CZ5ABTGT4}

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	2026-07-28T01:22:48.778201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b982dafee911cd2cfdad0b3d006669f1005e46642df912f3b079925a277d042

Aliases

arxiv: 2607.23351 · arxiv_version: 2607.23351v1 · doi: 10.48550/arxiv.2607.23351 · pith_short_12: BOMC3L7OSEON · pith_short_16: BOMC3L7OSEONFT62 · pith_short_8: BOMC3L7O

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/BOMC3L7OSEONFT622CZ5ABTGT4 \
  | 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: 0b982dafee911cd2cfdad0b3d006669f1005e46642df912f3b079925a277d042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dead59cf050f29560fadb8be0d1d9dc44caf47eb5fd819fb82c379a07fce0b27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-25T19:59:48Z",
    "title_canon_sha256": "3f0a7ee51da6f84e84d592840aef04c2a74d9bb99f0305f19671c1ccf44d7937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23351",
    "kind": "arxiv",
    "version": 1
  }
}