Pith Number

pith:AJRVOTXL

pith:2016:AJRVOTXL4LQCSQJRJXI5GXWSH4

not attested not anchored not stored refs pending

Arithmetical structures on graphs with connectivity one

Carlos E. Valencia, Hugo Corrales

arxiv:1606.03726 v3 · 2016-06-12 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJRVOTXL4LQCSQJRJXI5GXWSH4}

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	2026-05-18T00:42:32.790172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0263574eebe2e02941314dd1d35ed23f1689f7145f72c4ea60b892ad33daa16b

Aliases

arxiv: 1606.03726 · arxiv_version: 1606.03726v3 · doi: 10.48550/arxiv.1606.03726 · pith_short_12: AJRVOTXL4LQC · pith_short_16: AJRVOTXL4LQCSQJR · pith_short_8: AJRVOTXL

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/AJRVOTXL4LQCSQJRJXI5GXWSH4 \
  | 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: 0263574eebe2e02941314dd1d35ed23f1689f7145f72c4ea60b892ad33daa16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1775dea2f26a3616dbaab0198baab91853f6c777abdd017ce7ba1f05c59e93",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-12T15:08:26Z",
    "title_canon_sha256": "e0305c8545d063e8ab61eeee0f881a2941f5c5d892b570b7623ae7e982474297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03726",
    "kind": "arxiv",
    "version": 3
  }
}