Pith Number

pith:FOWSP74N

pith:2026:FOWSP74N3HMZY3XCI6BP2AB5WT

not attested not anchored not stored refs pending

Whitney's 2-isomorphism theorem for graphings

Grigory Terlov, L\'aszl\'o M\'arton T\'oth, M\'arton Borb\'enyi

arxiv:2605.16152 v1 · 2026-05-15 · 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{FOWSP74N3HMZY3XCI6BP2AB5WT}

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	2026-05-20T00:01:55.241342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bad27ff8dd9d99c6ee24782fd003db4f8fde6fc4c36a4792a1ba378f43387e2

Aliases

arxiv: 2605.16152 · arxiv_version: 2605.16152v1 · doi: 10.48550/arxiv.2605.16152 · pith_short_12: FOWSP74N3HMZ · pith_short_16: FOWSP74N3HMZY3XC · pith_short_8: FOWSP74N

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/FOWSP74N3HMZY3XCI6BP2AB5WT \
  | 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: 2bad27ff8dd9d99c6ee24782fd003db4f8fde6fc4c36a4792a1ba378f43387e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84585a6943e728e6958838da4593f36e0e09d2bc415d932e847e22465e417e59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-15T16:32:42Z",
    "title_canon_sha256": "1de89c92f4cc6b3213dbe357cbc062b949237c55532f7daa813bb54acb87926c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16152",
    "kind": "arxiv",
    "version": 1
  }
}