Pith Number

pith:Q4K6TC2J

pith:2011:Q4K6TC2JV5Q37JBAAKB4AWOSAG

not attested not anchored not stored refs pending

Generalized Nonaveraging Integer Sequences

Dennis Tseng

arxiv:1107.1756 v1 · 2011-07-09 · 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{Q4K6TC2JV5Q37JBAAKB4AWOSAG}

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	2026-05-18T04:18:34.192942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8715e98b49af61bfa4200283c059d201879396e3c4fbd35df0e3d70ed6bdf8d7

Aliases

arxiv: 1107.1756 · arxiv_version: 1107.1756v1 · doi: 10.48550/arxiv.1107.1756 · pith_short_12: Q4K6TC2JV5Q3 · pith_short_16: Q4K6TC2JV5Q37JBA · pith_short_8: Q4K6TC2J

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/Q4K6TC2JV5Q37JBAAKB4AWOSAG \
  | 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: 8715e98b49af61bfa4200283c059d201879396e3c4fbd35df0e3d70ed6bdf8d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c77c0f3bddf16f5d45b74b39b366808044cf52555435bd32c661ade1a74c33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-09T02:01:03Z",
    "title_canon_sha256": "dddc961312f5f1fd50364f3e6f14e8bbb6247e59cf113e4d83c0cfd1af17bcc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1756",
    "kind": "arxiv",
    "version": 1
  }
}