Pith Number

pith:MFXT2H4X

pith:2012:MFXT2H4XCIGEEWZYKUTPHJGBA7

not attested not anchored not stored refs pending

Metric dimension for random graphs

B. Bollobas, D. Mitsche, P. Pralat

arxiv:1208.3801 v3 · 2012-08-19 · 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{MFXT2H4XCIGEEWZYKUTPHJGBA7}

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	2026-05-18T02:50:01.044032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616f3d1f97120c425b385526f3a4c107d17a29b4ebaf49a2be50dd7f8d7b8195

Aliases

arxiv: 1208.3801 · arxiv_version: 1208.3801v3 · doi: 10.48550/arxiv.1208.3801 · pith_short_12: MFXT2H4XCIGE · pith_short_16: MFXT2H4XCIGEEWZY · pith_short_8: MFXT2H4X

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/MFXT2H4XCIGEEWZYKUTPHJGBA7 \
  | 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: 616f3d1f97120c425b385526f3a4c107d17a29b4ebaf49a2be50dd7f8d7b8195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e2792c7ecc406a456ce2411f55f52dbf0bb9c3f61b54e6f23a775328492f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-19T02:20:57Z",
    "title_canon_sha256": "d81cdf9abfe8f6a3f0b92d4b148453640419394fd18899c746ac7da8adf11144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3801",
    "kind": "arxiv",
    "version": 3
  }
}