Pith Number

pith:IM4PYAD6

pith:2019:IM4PYAD6VTDX2WVRGLROZEBCC7

not attested not anchored not stored refs pending

Combinatorial properties of ultrametrics and generalized ultrametrics

O. Dovgoshey

arxiv:1908.08349 v1 · 2019-08-22 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM4PYAD6VTDX2WVRGLROZEBCC7}

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	2026-07-04T23:59:12.019943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4338fc007eacc77d5ab132e2ec902217cc7cd276c063d53b5d079d031053fd69

Aliases

arxiv: 1908.08349 · arxiv_version: 1908.08349v1 · doi: 10.48550/arxiv.1908.08349 · pith_short_12: IM4PYAD6VTDX · pith_short_16: IM4PYAD6VTDX2WVR · pith_short_8: IM4PYAD6

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/IM4PYAD6VTDX2WVRGLROZEBCC7 \
  | 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: 4338fc007eacc77d5ab132e2ec902217cc7cd276c063d53b5d079d031053fd69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f25763afa8470ec2f2c146dce90dcba277b60ae127a255492f47481c5d2376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-22T13:04:49Z",
    "title_canon_sha256": "9eb5362ea2cb1f03b9ca6628b80d7355c574c4503b8a2cc72b15f2cd671bba86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08349",
    "kind": "arxiv",
    "version": 1
  }
}