Pith Number

pith:VQTSL4CH

pith:2016:VQTSL4CHFMMJTSRTIKWVCSTXYB

not attested not anchored not stored refs pending

On the variety of shapes in digital trees

Hosam Mahmoud, Jeffrey Gaither, Mark Daniel Ward

arxiv:1607.00645 v1 · 2016-07-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQTSL4CHFMMJTSRTIKWVCSTXYB}

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	2026-05-18T01:11:34.556375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2725f0472b1899ca3342ad514a77c0674678e711485a9a659c4b7c3ae256a5

Aliases

arxiv: 1607.00645 · arxiv_version: 1607.00645v1 · doi: 10.48550/arxiv.1607.00645 · pith_short_12: VQTSL4CHFMMJ · pith_short_16: VQTSL4CHFMMJTSRT · pith_short_8: VQTSL4CH

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/VQTSL4CHFMMJTSRTIKWVCSTXYB \
  | 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: ac2725f0472b1899ca3342ad514a77c0674678e711485a9a659c4b7c3ae256a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61039fa1c2593d7bba614b066f6efa8d20b8973f90ebfb2779c7562466630898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-03T14:24:46Z",
    "title_canon_sha256": "e4afbf0760226b939e8f142abaa7917184cf8a845829f94a6313cbe93d1c78c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00645",
    "kind": "arxiv",
    "version": 1
  }
}