Pith Number

pith:IOLU2RM2

pith:2011:IOLU2RM22GIM6UIAPPKQPQ2DH5

not attested not anchored not stored refs pending

Further Properties of Random Threshold Graphs

Christopher Ross

arxiv:1111.7157 v1 · 2011-11-30 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOLU2RM22GIM6UIAPPKQPQ2DH5}

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	2026-05-18T04:07:18.674555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43974d459ad190cf51007bd507c3433f7f9640407a233d2d3c1e78665752ff29

Aliases

arxiv: 1111.7157 · arxiv_version: 1111.7157v1 · doi: 10.48550/arxiv.1111.7157 · pith_short_12: IOLU2RM22GIM · pith_short_16: IOLU2RM22GIM6UIA · pith_short_8: IOLU2RM2

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/IOLU2RM22GIM6UIAPPKQPQ2DH5 \
  | 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: 43974d459ad190cf51007bd507c3433f7f9640407a233d2d3c1e78665752ff29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e26ef7ddd84bb419518938848836b0595e01d42ca49c6d6e21c216a4e46294",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-30T13:34:15Z",
    "title_canon_sha256": "37c680019aeb5bed35d353931db7694011c04df77397f5c38a59f2643f44e7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7157",
    "kind": "arxiv",
    "version": 1
  }
}