Pith Number

pith:3MCDAWCV

pith:2019:3MCDAWCVPIHSQRLCAFADNEH35J

not attested not anchored not stored refs pending

On ultrametric-preserving functions

Oleksiy Dovgoshey

arxiv:1902.08747 v2 · 2019-02-23 · 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{3MCDAWCVPIHSQRLCAFADNEH35J}

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.

Cited by

1 paper in Pith

Combinatorial properties of ultrametrics and generalized ultrametrics

Receipt and verification

First computed	2026-05-17T23:41:11.983634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db043058557a0f28456201403690fbea7e7a5ebd83e26a9e17c5cd65eca3dd7f

Aliases

arxiv: 1902.08747 · arxiv_version: 1902.08747v2 · doi: 10.48550/arxiv.1902.08747 · pith_short_12: 3MCDAWCVPIHS · pith_short_16: 3MCDAWCVPIHSQRLC · pith_short_8: 3MCDAWCV

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/3MCDAWCVPIHSQRLCAFADNEH35J \
  | 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: db043058557a0f28456201403690fbea7e7a5ebd83e26a9e17c5cd65eca3dd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15eb04dda7424c62b612bd257dc4dfb31686a0218156c8ecbf9c4ccd02a55f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-02-23T06:58:35Z",
    "title_canon_sha256": "fb0159f91c49375b492233aa0aa875e05ad6f3b8b47bd4f72a256f727f0daa62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08747",
    "kind": "arxiv",
    "version": 2
  }
}