Pith Number

pith:FJHCNSPA

pith:2012:FJHCNSPAG4LYWQ5SFPFAGIEJNG

not attested not anchored not stored refs pending

Berge's Theorem for Noncompact Image Sets

Eugene A. Feinberg, Nina V. Zadoianchuk, Pavlo O. Kasyanov

arxiv:1203.1340 v1 · 2012-03-06 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJHCNSPAG4LYWQ5SFPFAGIEJNG}

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	2026-05-18T04:00:39.637101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4e26c9e037178b43b22bca032089698d68b0c49922aca91254b1df22b39ede

Aliases

arxiv: 1203.1340 · arxiv_version: 1203.1340v1 · doi: 10.48550/arxiv.1203.1340 · pith_short_12: FJHCNSPAG4LY · pith_short_16: FJHCNSPAG4LYWQ5S · pith_short_8: FJHCNSPA

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/FJHCNSPAG4LYWQ5SFPFAGIEJNG \
  | 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: 2a4e26c9e037178b43b22bca032089698d68b0c49922aca91254b1df22b39ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f254b6a331afc185dafcb317bb5d52805097d4a8a21b23a518cffabe37a46648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-03-06T21:41:33Z",
    "title_canon_sha256": "e582c25d4cb5a89a894603094e41bcf507dd257634b56bdc1259dd2a93690635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1340",
    "kind": "arxiv",
    "version": 1
  }
}