Pith Number

pith:3MIVFRVH

pith:2019:3MIVFRVHWTOGRP2NKTB7XA3EIP

not attested not anchored not stored refs pending

Distance-based vertex identification in graphs: the outer multiset dimension

Ismael G. Yero, Reynaldo Gil-Pons, Rolando Trujillo-Rasua, Yunior Ram\'irez-Cruz

arxiv:1902.03017 v1 · 2019-02-08 · 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{3MIVFRVHWTOGRP2NKTB7XA3EIP}

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	2026-07-04T23:51:20.723246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1152c6a7b4dc68bf4d54c3fb836443ccb92907c7e56da8335619a6c668d3c4

Aliases

arxiv: 1902.03017 · arxiv_version: 1902.03017v1 · doi: 10.48550/arxiv.1902.03017 · pith_short_12: 3MIVFRVHWTOG · pith_short_16: 3MIVFRVHWTOGRP2N · pith_short_8: 3MIVFRVH

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/3MIVFRVHWTOGRP2NKTB7XA3EIP \
  | 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: db1152c6a7b4dc68bf4d54c3fb836443ccb92907c7e56da8335619a6c668d3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6d3811a1b3355644ece7aac869a37d6b91ca56e54c07b1d8704d3023ecbcef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-08T10:52:39Z",
    "title_canon_sha256": "ac952adce3c59885cecc41a16b6862e2755aa7489cfe251de6a333d866241610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03017",
    "kind": "arxiv",
    "version": 1
  }
}