Pith Number

pith:SSROQF7Z

pith:2019:SSROQF7Z6BP7D2JFHDWO4SLRQE

not attested not anchored not stored refs pending

Thresholds in random motif graphs

Michael Anastos, Peleg Michaeli, Samantha Petti

arxiv:1907.12043 v1 · 2019-07-28 · 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{SSROQF7Z6BP7D2JFHDWO4SLRQE}

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	2026-07-04T23:50:04.865486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a2e817f9f05ff1e92538ecee49718124c74381a2f34f8578423e4c1c68629a

Aliases

arxiv: 1907.12043 · arxiv_version: 1907.12043v1 · doi: 10.48550/arxiv.1907.12043 · pith_short_12: SSROQF7Z6BP7 · pith_short_16: SSROQF7Z6BP7D2JF · pith_short_8: SSROQF7Z

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/SSROQF7Z6BP7D2JFHDWO4SLRQE \
  | 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: 94a2e817f9f05ff1e92538ecee49718124c74381a2f34f8578423e4c1c68629a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f06c1860ad279ce3e6c07d725391a023e14f1221a537f54ae4670b18d96eaf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-28T08:20:48Z",
    "title_canon_sha256": "5091541b904a09440bbe995cb79f0bc32b2f3eae1005b305bdfc8fcbc63cea1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12043",
    "kind": "arxiv",
    "version": 1
  }
}