Pith Number

pith:DV2G32NT

pith:2015:DV2G32NTD2OMLLF66PQWEQ4EHE

not attested not anchored not stored refs pending

Regular Dirichlet subspaces and Mosco convergence

Liping Li, Xiucui Song

arxiv:1505.00451 v1 · 2015-05-03 · 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{DV2G32NTD2OMLLF66PQWEQ4EHE}

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	2026-05-18T02:17:02.944882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d746de9b31e9cc5acbef3e1624384392b887ba5a4186ea8fd867ac431e2c9fe

Aliases

arxiv: 1505.00451 · arxiv_version: 1505.00451v1 · doi: 10.48550/arxiv.1505.00451 · pith_short_12: DV2G32NTD2OM · pith_short_16: DV2G32NTD2OMLLF6 · pith_short_8: DV2G32NT

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/DV2G32NTD2OMLLF66PQWEQ4EHE \
  | 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: 1d746de9b31e9cc5acbef3e1624384392b887ba5a4186ea8fd867ac431e2c9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106fa7e88014b5659cbb00ad7c42241282d9e39d686854af5fb55d4c6c5d1cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-03T17:01:58Z",
    "title_canon_sha256": "e460d6cdd99dab95d992c84cfa8dc73692e3f54e8ef66006cce1296fb1313f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00451",
    "kind": "arxiv",
    "version": 1
  }
}