Pith Number

pith:NISAP2MY

pith:2016:NISAP2MYSJQ5MDLVMXLR5V74B2

not attested not anchored not stored refs pending

Some reflections on directed lattice paths

Cyril Banderier, Michael Wallner

arxiv:1605.01687 v1 · 2016-05-05 · cs.DM · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NISAP2MYSJQ5MDLVMXLR5V74B2}

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	2026-05-18T01:15:32.993252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2407e9989261d60d7565d71ed7fc0eb4279ffc8ab886972d582e05864457d2

Aliases

arxiv: 1605.01687 · arxiv_version: 1605.01687v1 · doi: 10.48550/arxiv.1605.01687 · pith_short_12: NISAP2MYSJQ5 · pith_short_16: NISAP2MYSJQ5MDLV · pith_short_8: NISAP2MY

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/NISAP2MYSJQ5MDLVMXLR5V74B2 \
  | 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: 6a2407e9989261d60d7565d71ed7fc0eb4279ffc8ab886972d582e05864457d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c8a6ba2b1aadbbd81b07d4b5673dd176accdadbb46186303858502b6bc4dbf",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-05-05T18:42:06Z",
    "title_canon_sha256": "6a2da7a1f86955ff71558735300ff57ca67905a4834d46c571a1083b6175cf31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01687",
    "kind": "arxiv",
    "version": 1
  }
}