Pith Number

pith:Z32WZ4HU

pith:2019:Z32WZ4HUM73POGZXIJJ7GUMAZY

not attested not anchored not stored refs pending

The isomorphism problem of trees from the viewpoint of Terwilliger algebras

Jing Xu, Masoud Karimi, Shuang-Dong Li, Tatsuro Ito, Yi-Zheng Fan

arxiv:1910.09764 v1 · 2019-10-22 · 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{Z32WZ4HUM73POGZXIJJ7GUMAZY}

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	2026-07-05T00:14:02.213499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef56cf0f467f6f71b374253f35180ce22b9f56027185cb674491fd43616f002

Aliases

arxiv: 1910.09764 · arxiv_version: 1910.09764v1 · doi: 10.48550/arxiv.1910.09764 · pith_short_12: Z32WZ4HUM73P · pith_short_16: Z32WZ4HUM73POGZX · pith_short_8: Z32WZ4HU

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/Z32WZ4HUM73POGZXIJJ7GUMAZY \
  | 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: cef56cf0f467f6f71b374253f35180ce22b9f56027185cb674491fd43616f002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b74df10d0dc496323e9771c3a112cd01679fe6a167a22c87c87908344b22ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-22T04:52:56Z",
    "title_canon_sha256": "dc08bb2fc69e88f8a0452fd1114d82812d976bd8134621f9737518579a2f3086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09764",
    "kind": "arxiv",
    "version": 1
  }
}