Pith Number

pith:E2K3ERN4

pith:2003:E2K3ERN4KM7P3NIU2TX2D5YD4Z

not attested not anchored not stored refs pending

Multiple pattern avoidance with respect to fixed points and excedances

Sergi Elizalde

arxiv:math/0311211 v1 · 2003-11-13 · 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{E2K3ERN4KM7P3NIU2TX2D5YD4Z}

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	2026-05-18T01:05:28.519778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2695b245bc533efdb514d4efa1f703e65e0a9110a2bdf508255a70178c9d066f

Aliases

arxiv: math/0311211 · arxiv_version: math/0311211v1 · doi: 10.48550/arxiv.math/0311211 · pith_short_12: E2K3ERN4KM7P · pith_short_16: E2K3ERN4KM7P3NIU · pith_short_8: E2K3ERN4

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/E2K3ERN4KM7P3NIU2TX2D5YD4Z \
  | 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: 2695b245bc533efdb514d4efa1f703e65e0a9110a2bdf508255a70178c9d066f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2b8e87fa032f2d9009f59d699dafefbee1d9d8a4a7ac01832714e307193e6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-11-13T05:31:21Z",
    "title_canon_sha256": "13ad06f18bd537c045819c081d421c564e33eb5483a44ce198f6c3d08edfb9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311211",
    "kind": "arxiv",
    "version": 1
  }
}