Pith Number

pith:CKXDCG5I

pith:2017:CKXDCG5IG2KYNHC5UZFKXNELCT

not attested not anchored not stored refs pending

Doppelgangers: the Ur-Operation and Posets of Bounded Height

Max Hopkins, Thomas Browning, Zander Kelley

arxiv:1710.10407 v2 · 2017-10-28 · 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{CKXDCG5IG2KYNHC5UZFKXNELCT}

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	2026-05-18T00:09:47.673448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ae311ba83695869c5da64aabb48b14db1cd933ed6b251c5893e27ca8214812

Aliases

arxiv: 1710.10407 · arxiv_version: 1710.10407v2 · doi: 10.48550/arxiv.1710.10407 · pith_short_12: CKXDCG5IG2KY · pith_short_16: CKXDCG5IG2KYNHC5 · pith_short_8: CKXDCG5I

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/CKXDCG5IG2KYNHC5UZFKXNELCT \
  | 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: 12ae311ba83695869c5da64aabb48b14db1cd933ed6b251c5893e27ca8214812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0e170d3d7cb65536f16db2a0ccccb18f6c4a773a2de4701d38908b3a79a4d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-28T07:13:36Z",
    "title_canon_sha256": "635285ec716c98274ba689b202a85bb2a6db8f2dfc408dc7bf6e391317a8a8a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10407",
    "kind": "arxiv",
    "version": 2
  }
}