Pith Number

pith:LGEVTHGB

pith:2019:LGEVTHGBKA7MPKFBCPTA7VKXZQ

not attested not anchored not stored refs pending

Is the Symmetric Group Sperner?

Gene B. Kim, Larry H. Harper

arxiv:1901.00197 v2 · 2019-01-01 · 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{LGEVTHGBKA7MPKFBCPTA7VKXZQ}

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	2026-05-17T23:56:57.900913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5989599cc1503ec7a8a113e60fd557cc00b44914643fb1b2e7f4f3d4f216cce5

Aliases

arxiv: 1901.00197 · arxiv_version: 1901.00197v2 · doi: 10.48550/arxiv.1901.00197 · pith_short_12: LGEVTHGBKA7M · pith_short_16: LGEVTHGBKA7MPKFB · pith_short_8: LGEVTHGB

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/LGEVTHGBKA7MPKFBCPTA7VKXZQ \
  | 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: 5989599cc1503ec7a8a113e60fd557cc00b44914643fb1b2e7f4f3d4f216cce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0ebf23f1feb144491ee8dc1164e595abd0778954e19f5792475958f472ca99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-01T18:57:44Z",
    "title_canon_sha256": "279304bd2938d3ea78c4d25e6ba89899cad34a093ebf84a7fc2c78fbf700c916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00197",
    "kind": "arxiv",
    "version": 2
  }
}