Pith Number

pith:FCMA7H4A

pith:2019:FCMA7H4ACUCLA57QJBOHXXN2ZO

not attested not anchored not stored refs pending

The wave model of metric spaces

M. I. Belishev, S. A. Simonov

arxiv:1901.04317 v1 · 2019-01-10 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCMA7H4ACUCLA57QJBOHXXN2ZO}

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	2026-05-17T23:56:25.849715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28980f9f801504b077f0485c7bddbacb8eb568ea3f68cf9f416a7dd52b13883c

Aliases

arxiv: 1901.04317 · arxiv_version: 1901.04317v1 · doi: 10.48550/arxiv.1901.04317 · pith_short_12: FCMA7H4ACUCL · pith_short_16: FCMA7H4ACUCLA57Q · pith_short_8: FCMA7H4A

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/FCMA7H4ACUCLA57QJBOHXXN2ZO \
  | 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: 28980f9f801504b077f0485c7bddbacb8eb568ea3f68cf9f416a7dd52b13883c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e97539e78eadf02d5e654bff4d1328567ccdd2daf6d7b2ac95a09cfd2ae085",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-10T21:22:08Z",
    "title_canon_sha256": "6850a64a893317c1466774448b6e5ced83991d5674ff2e1e34b57f87edb5ca28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04317",
    "kind": "arxiv",
    "version": 1
  }
}