Pith Number

pith:4DMVC4VV

pith:2018:4DMVC4VVKTAPRC4O7E5H6FTZHS

not attested not anchored not stored refs pending

Clumsy packings of graphs

Anika Kaufmann, Maria Axenovich, Raphael Yuster

arxiv:1807.05041 v1 · 2018-07-13 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T00:10:49.175332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d95172b554c0f88b8ef93a7f16793c99946c763305e9a85ba71b9e40d7fc89

Aliases

arxiv: 1807.05041 · arxiv_version: 1807.05041v1 · doi: 10.48550/arxiv.1807.05041 · pith_short_12: 4DMVC4VVKTAP · pith_short_16: 4DMVC4VVKTAPRC4O · pith_short_8: 4DMVC4VV

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/4DMVC4VVKTAPRC4O7E5H6FTZHS \
  | 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: e0d95172b554c0f88b8ef93a7f16793c99946c763305e9a85ba71b9e40d7fc89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c369d6cca22a748dd57a7abdab101bab7bff73c6c4f95527bf7b1ecbfc31c39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-13T12:43:48Z",
    "title_canon_sha256": "70c69af79ebdc0b9823facf46964ccb002a491b9ebd6d9b7f0d845cf9912d8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05041",
    "kind": "arxiv",
    "version": 1
  }
}