Pith Number

pith:FFZXOHWR

pith:2016:FFZXOHWR5ZN4JYJGCDQWQVVI5K

not attested not anchored not stored refs pending

>k-homogeneous infinite graphs

Ove Ahlman

arxiv:1601.07307 v3 · 2016-01-27 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFZXOHWR5ZN4JYJGCDQWQVVI5K}

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	2026-05-18T00:26:47.070151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2973771ed1ee5bc4e12610e16856a8eab42cee773fd95f9ceab3f94844bdcde5

Aliases

arxiv: 1601.07307 · arxiv_version: 1601.07307v3 · doi: 10.48550/arxiv.1601.07307 · pith_short_12: FFZXOHWR5ZN4 · pith_short_16: FFZXOHWR5ZN4JYJG · pith_short_8: FFZXOHWR

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/FFZXOHWR5ZN4JYJGCDQWQVVI5K \
  | 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: 2973771ed1ee5bc4e12610e16856a8eab42cee773fd95f9ceab3f94844bdcde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b1643fb4b4f1fe3460a6886cb6bbd96523d9a3dd5796c17cb0351d64b62e0a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-27T09:52:36Z",
    "title_canon_sha256": "ef0a343b809a307ca395f5ce8d972b7deaaddfe874ea1f8a966fb196e2e9ac57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07307",
    "kind": "arxiv",
    "version": 3
  }
}