Pith Number

pith:2762FANC

pith:2012:2762FANCVGY4I2AOQLDIQFJCPN

not attested not anchored not stored refs pending

On sequences with {-1,0,1} Hankel transforms

Paul Barry

arxiv:1205.2565 v1 · 2012-05-11 · 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{2762FANCVGY4I2AOQLDIQFJCPN}

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	2026-05-18T03:55:48.031436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7fda281a2a9b1c4680e82c68815227b6a0364304590b131d268dea55b513f40

Aliases

arxiv: 1205.2565 · arxiv_version: 1205.2565v1 · doi: 10.48550/arxiv.1205.2565 · pith_short_12: 2762FANCVGY4 · pith_short_16: 2762FANCVGY4I2AO · pith_short_8: 2762FANC

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/2762FANCVGY4I2AOQLDIQFJCPN \
  | 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: d7fda281a2a9b1c4680e82c68815227b6a0364304590b131d268dea55b513f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d54543fc17b6c5ca5016fdef3df0a7a9ff5ebab292b7b538869176cd6da4660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-11T16:16:28Z",
    "title_canon_sha256": "f290a55b24e4a4150beb2eff2ea7c65949a2dc81df26bb5ad72c93e391e8256e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2565",
    "kind": "arxiv",
    "version": 1
  }
}