Pith Number

pith:25DULM2P

pith:2018:25DULM2PFPFWJIFQOCJ7CEIICU

not attested not anchored not stored refs pending

How to Realize a Graph on Random Points

Alexander Russell, Saad Quader

arxiv:1804.08680 v1 · 2018-04-23 · cs.DM · 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{25DULM2PFPFWJIFQOCJ7CEIICU}

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	2026-05-18T00:17:46.999731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74745b34f2bcb64a0b07093f11108152cb2d95507f279bedcc5502dde4e3fa2

Aliases

arxiv: 1804.08680 · arxiv_version: 1804.08680v1 · doi: 10.48550/arxiv.1804.08680 · pith_short_12: 25DULM2PFPFW · pith_short_16: 25DULM2PFPFWJIFQ · pith_short_8: 25DULM2P

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/25DULM2PFPFWJIFQOCJ7CEIICU \
  | 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: d74745b34f2bcb64a0b07093f11108152cb2d95507f279bedcc5502dde4e3fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3c6349694abedb7a8940edb6b950bae4fc0699e7fb56c1360472b33d8babf1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-23T19:41:44Z",
    "title_canon_sha256": "4a4ad593abeb20edfc4e1b1140c3f15c1b77c7359e710800c03b230a1646674c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08680",
    "kind": "arxiv",
    "version": 1
  }
}