pith. sign in
Pith Number

pith:SQ64K77N

pith:2016:SQ64K77NR7VT7KW7M7FJHUAC7W
not attested not anchored not stored refs pending

On the Partition Dimension and the Twin Number of a Graph

Carmen Hernando, Ignacio M Pelayo, Merce Mora

arxiv:1602.08907 v3 · 2016-02-29 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SQ64K77NR7VT7KW7M7FJHUAC7W}

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 2026-05-18T01:19:35.136670Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

943dc57fed8feb3faadf67ca93d002fdb39f195636a294b43600e52afe8e35d8

Aliases

arxiv: 1602.08907 · arxiv_version: 1602.08907v3 · doi: 10.48550/arxiv.1602.08907 · pith_short_12: SQ64K77NR7VT · pith_short_16: SQ64K77NR7VT7KW7 · pith_short_8: SQ64K77N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SQ64K77NR7VT7KW7M7FJHUAC7W \
  | 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: 943dc57fed8feb3faadf67ca93d002fdb39f195636a294b43600e52afe8e35d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "171e58d1b8ebaac698234eb56e62916056bf410fd7bbe92a473823d3114d450c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-29T11:16:38Z",
    "title_canon_sha256": "9c32f3702db0e33f4dbefa4ba9c36a5fcd686cb317efaf6b81eecb2aa89f3174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08907",
    "kind": "arxiv",
    "version": 3
  }
}