Pith Number

pith:KIU66ZDW

pith:2013:KIU66ZDWLIOABVLMGWWQXVUXFS

not attested not anchored not stored refs pending

Descent pattern avoidance

JiYoon Jung, Richard Ehrenborg

arxiv:1312.2027 v1 · 2013-12-06 · 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{KIU66ZDWLIOABVLMGWWQXVUXFS}

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	2026-05-18T03:05:17.573929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5229ef64765a1c00d56c35ad0bd6972cae3602d119c85984d578e816bfa81bd4

Aliases

arxiv: 1312.2027 · arxiv_version: 1312.2027v1 · doi: 10.48550/arxiv.1312.2027 · pith_short_12: KIU66ZDWLIOA · pith_short_16: KIU66ZDWLIOABVLM · pith_short_8: KIU66ZDW

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/KIU66ZDWLIOABVLMGWWQXVUXFS \
  | 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: 5229ef64765a1c00d56c35ad0bd6972cae3602d119c85984d578e816bfa81bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9986850976c4d025b604c2e0cf05fe1804caa6727dde5710d22c394e73015905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-06T22:08:49Z",
    "title_canon_sha256": "23efc9a5f7fe172fba5205f96687306db116abfee009f2d1d6398e0139b7c2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2027",
    "kind": "arxiv",
    "version": 1
  }
}