Pith Number

pith:BYWZR2Y4

pith:2013:BYWZR2Y4QEVBWBNMVLMVZEBL2I

not attested not anchored not stored refs pending

Graphs with large generalized (edge-)connectivity

Xueliang Li, Yaping Mao

arxiv:1305.1089 v3 · 2013-05-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYWZR2Y4QEVBWBNMVLMVZEBL2I}

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	2026-05-18T01:34:36.043076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2d98eb1c812a1b05acaad95c902bd20ef6b7c6a0cd9945d303d0c2fdc8cf19

Aliases

arxiv: 1305.1089 · arxiv_version: 1305.1089v3 · doi: 10.48550/arxiv.1305.1089 · pith_short_12: BYWZR2Y4QEVB · pith_short_16: BYWZR2Y4QEVBWBNM · pith_short_8: BYWZR2Y4

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/BYWZR2Y4QEVBWBNMVLMVZEBL2I \
  | 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: 0e2d98eb1c812a1b05acaad95c902bd20ef6b7c6a0cd9945d303d0c2fdc8cf19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892f59f3a5bb28aeb27aab8d88ef24f64506a561156494b63e5a3fd64ef19758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-06T05:32:01Z",
    "title_canon_sha256": "90ef44d14a9f7a6cafba791494854b5f64aea450fce147589b0c413822f10faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1089",
    "kind": "arxiv",
    "version": 3
  }
}