Pith Number

pith:ULNODI6E

pith:2012:ULNODI6EUL6I2KDNGDZBTIG2WB

not attested not anchored not stored refs pending

Pattern classes and priority queues

M. D. Atkinson, Michael Albert

arxiv:1202.1542 v1 · 2012-02-07 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULNODI6EUL6I2KDNGDZBTIG2WB}

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	2026-05-18T04:02:52.118173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2dae1a3c4a2fc8d286d30f219a0dab0635e9ef46bc72a083204a5d8b7c27d20

Aliases

arxiv: 1202.1542 · arxiv_version: 1202.1542v1 · doi: 10.48550/arxiv.1202.1542 · pith_short_12: ULNODI6EUL6I · pith_short_16: ULNODI6EUL6I2KDN · pith_short_8: ULNODI6E

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/ULNODI6EUL6I2KDNGDZBTIG2WB \
  | 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: a2dae1a3c4a2fc8d286d30f219a0dab0635e9ef46bc72a083204a5d8b7c27d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5948cceb06218686ac59fb60008b0d314afb2c026be4d962f669444d2b715c3e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-07T21:58:45Z",
    "title_canon_sha256": "3739c912cf8c4a7f9c57f1dcbd34d05cfeb69e3de9d7adc5607c4213475547ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1542",
    "kind": "arxiv",
    "version": 1
  }
}