Pith Number

pith:3XR5LTL5

pith:2015:3XR5LTL5WPXVD4FMZ5BHRE5GNN

not attested not anchored not stored refs pending

Avoiding vincular patterns on alternating words

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

arxiv:1507.06154 v2 · 2015-07-22 · 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{3XR5LTL5WPXVD4FMZ5BHRE5GNN}

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	2026-05-18T01:19:50.935356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde3d5cd7db3ef51f0accf427893a66b738d4f065cb12ee0de1f1a43add4cd7c

Aliases

arxiv: 1507.06154 · arxiv_version: 1507.06154v2 · doi: 10.48550/arxiv.1507.06154 · pith_short_12: 3XR5LTL5WPXV · pith_short_16: 3XR5LTL5WPXVD4FM · pith_short_8: 3XR5LTL5

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/3XR5LTL5WPXVD4FMZ5BHRE5GNN \
  | 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: dde3d5cd7db3ef51f0accf427893a66b738d4f065cb12ee0de1f1a43add4cd7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fbe73c2fe5b85447456dfebffbbb575e65ab2a5ddd339c6cbee06444b3a2a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-22T12:29:05Z",
    "title_canon_sha256": "bd951da7dfc85628cf88a76b55e8262b6862829378e9e8ca34ee257b619b72f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06154",
    "kind": "arxiv",
    "version": 2
  }
}