Pith Number

pith:2XK7VMNM

pith:2016:2XK7VMNMRVSBZKPCLXI67EZ6TL

not attested not anchored not stored refs pending

On middle cube graphs

C. Dalf\'o, M.A. Fiol, M. Mitjana

arxiv:1608.03551 v1 · 2016-08-11 · 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{2XK7VMNMRVSBZKPCLXI67EZ6TL}

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	2026-05-18T01:09:28.747725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d5fab1ac8d641ca9e25dd1ef933e9ae06c6a30eec4934a25c489c4d3c30d77

Aliases

arxiv: 1608.03551 · arxiv_version: 1608.03551v1 · doi: 10.48550/arxiv.1608.03551 · pith_short_12: 2XK7VMNMRVSB · pith_short_16: 2XK7VMNMRVSBZKPC · pith_short_8: 2XK7VMNM

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/2XK7VMNMRVSBZKPCLXI67EZ6TL \
  | 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: d5d5fab1ac8d641ca9e25dd1ef933e9ae06c6a30eec4934a25c489c4d3c30d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a7fd27f2daf10082a9430863f0b0301e900ecd168fdf7b54abac01605b04f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-11T17:51:58Z",
    "title_canon_sha256": "3cd40094152a447cfcc1f8c66e46bb9991fc9260f23a95e7cb89de06f471295c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03551",
    "kind": "arxiv",
    "version": 1
  }
}