Pith Number

pith:AW2U4CLO

pith:2016:AW2U4CLO2Y3S5MBICJRHQ57FSB

not attested not anchored not stored refs pending

On the edge metric dimension for the random graph

Nina Zubrilina

arxiv:1612.06936 v1 · 2016-12-21 · 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{AW2U4CLO2Y3S5MBICJRHQ57FSB}

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	2026-05-18T00:54:15.022625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b54e096ed6372eb02812627877e590771d315f686436bb20747f07875e2bf6

Aliases

arxiv: 1612.06936 · arxiv_version: 1612.06936v1 · doi: 10.48550/arxiv.1612.06936 · pith_short_12: AW2U4CLO2Y3S · pith_short_16: AW2U4CLO2Y3S5MBI · pith_short_8: AW2U4CLO

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/AW2U4CLO2Y3S5MBICJRHQ57FSB \
  | 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: 05b54e096ed6372eb02812627877e590771d315f686436bb20747f07875e2bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ad5d3754463f92ba6ea48255e932b4b6bf1e784b2ccf2df64ac84336a4c67a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-21T01:11:11Z",
    "title_canon_sha256": "4a1a4ed25347f0cf7151b371e6d01e99323df5c47174769a186d57538053b47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06936",
    "kind": "arxiv",
    "version": 1
  }
}