Pith Number

pith:3IXXVBWQ

pith:2018:3IXXVBWQ4MGF57FVUMD6DSJ6BL

not attested not anchored not stored refs pending

Critical groups of iterated cones

David Perkinson, Gopal Goel

arxiv:1809.07379 v2 · 2018-09-19 · 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{3IXXVBWQ4MGF57FVUMD6DSJ6BL}

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	2026-05-17T23:56:38.429778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2f7a86d0e30c5efcb5a307e1c93e0ac4d0bd973964042bfb462b44300ee683

Aliases

arxiv: 1809.07379 · arxiv_version: 1809.07379v2 · doi: 10.48550/arxiv.1809.07379 · pith_short_12: 3IXXVBWQ4MGF · pith_short_16: 3IXXVBWQ4MGF57FV · pith_short_8: 3IXXVBWQ

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/3IXXVBWQ4MGF57FVUMD6DSJ6BL \
  | 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: da2f7a86d0e30c5efcb5a307e1c93e0ac4d0bd973964042bfb462b44300ee683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dadbba643099b89c13fbd758f2bba6af4e5a4841b29003bad860fc64438a2dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-19T19:23:39Z",
    "title_canon_sha256": "e4d28ea0c1a6887e554bd90ce64966d749af876540cf069798c167fb17f99c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07379",
    "kind": "arxiv",
    "version": 2
  }
}