Pith Number

pith:ALDIJKER

pith:2015:ALDIJKERTZ65RJ2CBOAIZXSES2

not attested not anchored not stored refs pending

Pattern-avoiding alternating words

Emma L.L. Gao, Philip B. Zhang, Sergey Kitaev

arxiv:1505.04078 v1 · 2015-05-15 · 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{ALDIJKERTZ65RJ2CBOAIZXSES2}

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	2026-05-18T02:09:40.198848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c684a8919e7dd8a7420b808cde4496be92e59a6beee77bab7c94d0d9d896d3

Aliases

arxiv: 1505.04078 · arxiv_version: 1505.04078v1 · doi: 10.48550/arxiv.1505.04078 · pith_short_12: ALDIJKERTZ65 · pith_short_16: ALDIJKERTZ65RJ2C · pith_short_8: ALDIJKER

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/ALDIJKERTZ65RJ2CBOAIZXSES2 \
  | 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: 02c684a8919e7dd8a7420b808cde4496be92e59a6beee77bab7c94d0d9d896d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9110b2d0281943a747f026de8729201c782a612a26dad49f75e7dd5a566ef6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-15T14:49:49Z",
    "title_canon_sha256": "87439bfc88992c75066b324067a2204f854005f680dedf1d1092591e82d10d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04078",
    "kind": "arxiv",
    "version": 1
  }
}