Pith Number

pith:B3QT6PQT

pith:2018:B3QT6PQTYHWBB5FO5OCNOUNVNB

not attested not anchored not stored refs pending

Local Immunodeficiency: Minimal Networks and Stability

Leonid Bunimovich, Longmei Shu

arxiv:1808.03741 v2 · 2018-08-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3QT6PQTYHWBB5FO5OCNOUNVNB}

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	2026-05-17T23:52:58.956572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee13f3e13c1ec10f4aeeb84d751b5687018398dd8754cb89907968771cad937

Aliases

arxiv: 1808.03741 · arxiv_version: 1808.03741v2 · doi: 10.48550/arxiv.1808.03741 · pith_short_12: B3QT6PQTYHWB · pith_short_16: B3QT6PQTYHWBB5FO · pith_short_8: B3QT6PQT

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/B3QT6PQTYHWBB5FO5OCNOUNVNB \
  | 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: 0ee13f3e13c1ec10f4aeeb84d751b5687018398dd8754cb89907968771cad937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf2773faf80b548ffd8987ed235c45e67b91c84fbb6a98fe91fb4a834e9375c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-11T02:26:40Z",
    "title_canon_sha256": "433d8249946f62d5554c2dd0ac2c04a8a906a198c10ac2825d07a31d176bca47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03741",
    "kind": "arxiv",
    "version": 2
  }
}