Pith Number

pith:JBZM7I2H

pith:2013:JBZM7I2HDRC77PINIZCSJYTCQR

not attested not anchored not stored refs pending

Vulnerability of super edge-connected graphs

Jun-Ming Xu, Zhen-Mu Hong

arxiv:1301.4639 v1 · 2013-01-20 · 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{JBZM7I2HDRC77PINIZCSJYTCQR}

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	2026-05-18T03:35:56.072739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4872cfa3471c45ffbd0d464524e262846be49102b569fd73eeb14af75e62c133

Aliases

arxiv: 1301.4639 · arxiv_version: 1301.4639v1 · doi: 10.48550/arxiv.1301.4639 · pith_short_12: JBZM7I2HDRC7 · pith_short_16: JBZM7I2HDRC77PIN · pith_short_8: JBZM7I2H

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/JBZM7I2HDRC77PINIZCSJYTCQR \
  | 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: 4872cfa3471c45ffbd0d464524e262846be49102b569fd73eeb14af75e62c133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d20638dfe48706d670e0e537db3f1b838142cfc78d1e7e2f5ce1e3826060b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-20T08:25:43Z",
    "title_canon_sha256": "55996f8931924a9c7321deb10186a698976eb89821599533b591ca1cb46567a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4639",
    "kind": "arxiv",
    "version": 1
  }
}