Pith Number

pith:ZCLHSX24

pith:2018:ZCLHSX24TJ62GWAZL3IYWXOETJ

not attested not anchored not stored refs pending

Evolving Shelah-Spencer Graphs

Richard Elwes

arxiv:1809.08333 v2 · 2018-09-21 · 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{ZCLHSX24TJ62GWAZL3IYWXOETJ}

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	2026-05-17T23:41:31.060242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c896795f5c9a7da358195ed18b5dc49a4b01db0704c1ad808beb34bd28a6b8a3

Aliases

arxiv: 1809.08333 · arxiv_version: 1809.08333v2 · doi: 10.48550/arxiv.1809.08333 · pith_short_12: ZCLHSX24TJ62 · pith_short_16: ZCLHSX24TJ62GWAZ · pith_short_8: ZCLHSX24

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/ZCLHSX24TJ62GWAZL3IYWXOETJ \
  | 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: c896795f5c9a7da358195ed18b5dc49a4b01db0704c1ad808beb34bd28a6b8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3986f0c1569ab8ecf7579444c3024894d6c1e3284d11b47d0ac9b3008290ba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-21T22:22:53Z",
    "title_canon_sha256": "cfc464ac5e484ba3c4215aa019279590b84e00ef445491db4ccc9a26a3b4bb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08333",
    "kind": "arxiv",
    "version": 2
  }
}