Pith Number

pith:5O4TWCYX

pith:2019:5O4TWCYXDYTF2VN5IYOYZID4D4

not attested not anchored not stored refs pending

Some results on multithreshold graphs

Gregory J. Puleo

arxiv:1905.00099 v1 · 2019-04-30 · 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{5O4TWCYXDYTF2VN5IYOYZID4D4}

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	2026-05-17T23:47:15.215400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb93b0b171e265d55bd461d8ca07c1f2e2f5424c1cb8f45c804fef7c1721457

Aliases

arxiv: 1905.00099 · arxiv_version: 1905.00099v1 · doi: 10.48550/arxiv.1905.00099 · pith_short_12: 5O4TWCYXDYTF · pith_short_16: 5O4TWCYXDYTF2VN5 · pith_short_8: 5O4TWCYX

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/5O4TWCYXDYTF2VN5IYOYZID4D4 \
  | 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: ebb93b0b171e265d55bd461d8ca07c1f2e2f5424c1cb8f45c804fef7c1721457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2939551b52f24b61d744615129320b1cd00462b401b091762aad6840071c7f4c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-30T20:51:54Z",
    "title_canon_sha256": "792a3838de34af8f6f292c861a311b3bf24060516a60e50013db4cf450c52c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00099",
    "kind": "arxiv",
    "version": 1
  }
}