Pith Number

pith:CDY26GY6

pith:2012:CDY26GY6H2XVDSOBGSZ3DW4GRQ

not attested not anchored not stored refs pending

On Pattern Avoiding Alternating Permutations

Joanna N. Chen, Robin D. P. Zhou, William Y. C. Chen

arxiv:1212.2697 v1 · 2012-12-12 · 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{CDY26GY6H2XVDSOBGSZ3DW4GRQ}

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	2026-05-18T03:38:35.638713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f1af1b1e3eaf51c9c134b3b1db868c3130c5df3746459cc42fd1f1126484a9

Aliases

arxiv: 1212.2697 · arxiv_version: 1212.2697v1 · doi: 10.48550/arxiv.1212.2697 · pith_short_12: CDY26GY6H2XV · pith_short_16: CDY26GY6H2XVDSOB · pith_short_8: CDY26GY6

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/CDY26GY6H2XVDSOBGSZ3DW4GRQ \
  | 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: 10f1af1b1e3eaf51c9c134b3b1db868c3130c5df3746459cc42fd1f1126484a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32998a199ea478ad722ecacbf2f1154fd81e21d11f873821a108b106e2cf8bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-12T03:43:53Z",
    "title_canon_sha256": "f8126dc884fd318678d99ea056cd19c61fc3c4e568c55aafb082a65bb4d3a810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2697",
    "kind": "arxiv",
    "version": 1
  }
}