Pith Number

pith:KVABIUL5

pith:2012:KVABIUL5A3CQRWHZHRAO7766MV

not attested not anchored not stored refs pending

On the metric dimension, the upper dimension and the resolving number of graphs

Alberto M\'arquez, Antonio Gonz\'alez, Delia Garijo

arxiv:1205.1334 v2 · 2012-05-07 · 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{KVABIUL5A3CQRWHZHRAO7766MV}

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	2026-05-18T03:56:10.082793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

554014517d06c508d8f93c40efffde656fa5fdad47c14c7c0f97bc8d0eb01de7

Aliases

arxiv: 1205.1334 · arxiv_version: 1205.1334v2 · doi: 10.48550/arxiv.1205.1334 · pith_short_12: KVABIUL5A3CQ · pith_short_16: KVABIUL5A3CQRWHZ · pith_short_8: KVABIUL5

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/KVABIUL5A3CQRWHZHRAO7766MV \
  | 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: 554014517d06c508d8f93c40efffde656fa5fdad47c14c7c0f97bc8d0eb01de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1134042de95903e596290e5eeb283b993ffbce702776b440e045678ffa45fbf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-07T10:25:44Z",
    "title_canon_sha256": "d58f08bee023eecef79d9e60b780c51f01ac89ddf1c00bd077edf52fd1a9801f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1334",
    "kind": "arxiv",
    "version": 2
  }
}