Pith Number

pith:47OFMDBU

pith:2017:47OFMDBUKBUGUWYNRI2AVNVNYQ

not attested not anchored not stored refs pending

Strong Forms of Stability from Flag Algebra Calculations

Jakub Sliacan, Konstantinos Tyros, Oleg Pikhurko

arxiv:1706.02612 v2 · 2017-06-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47OFMDBUKBUGUWYNRI2AVNVNYQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:22:49.313061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dc560c3450686a5b0d8a340ab6adc4033b23ab887a8092a6512505f95991cf

Aliases

arxiv: 1706.02612 · arxiv_version: 1706.02612v2 · doi: 10.48550/arxiv.1706.02612 · pith_short_12: 47OFMDBUKBUG · pith_short_16: 47OFMDBUKBUGUWYN · pith_short_8: 47OFMDBU

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/47OFMDBUKBUGUWYNRI2AVNVNYQ \
  | 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: e7dc560c3450686a5b0d8a340ab6adc4033b23ab887a8092a6512505f95991cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f724b5f5103144e653ff01e889b078116ee25ba3a08531c9e0d9115b13a118f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-08T14:36:16Z",
    "title_canon_sha256": "0f8556adfd2076614f72f4b65aefca781b16c87fb7e8279460b88ebc78c6549c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02612",
    "kind": "arxiv",
    "version": 2
  }
}