Pith Number

pith:TRXIKAEF

pith:2016:TRXIKAEF3PECPVSHN4TDYHH7KX

not attested not anchored not stored refs pending

The generalized 3-(edge) connectivity of total graphs

Yinkui Li

arxiv:1608.02055 v2 · 2016-08-06 · 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{TRXIKAEF3PECPVSHN4TDYHH7KX}

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	2026-05-18T01:03:32.327502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6e850085dbc827d6476f263c1cff55e63c1f312e0191f1db98e1d31ff82e29

Aliases

arxiv: 1608.02055 · arxiv_version: 1608.02055v2 · doi: 10.48550/arxiv.1608.02055 · pith_short_12: TRXIKAEF3PEC · pith_short_16: TRXIKAEF3PECPVSH · pith_short_8: TRXIKAEF

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/TRXIKAEF3PECPVSHN4TDYHH7KX \
  | 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: 9c6e850085dbc827d6476f263c1cff55e63c1f312e0191f1db98e1d31ff82e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2b810a22095a8a9a4c27db07f3358c490644dd49179b77567819f9fd74a3ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-06T02:18:37Z",
    "title_canon_sha256": "f3e637537dcf6d95c183341c08bcad981dc2113f8308faa5b8f6da8bbb0e0d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02055",
    "kind": "arxiv",
    "version": 2
  }
}