Pith Number

pith:F25QFJA4

pith:2015:F25QFJA46TWYVD6GZW7XTMHYUY

not attested not anchored not stored refs pending

Good coverings of Alexandrov spaces

Ayato Mitsuishi, Takao Yamaguchi

arxiv:1508.07110 v2 · 2015-08-28 · 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{F25QFJA46TWYVD6GZW7XTMHYUY}

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	2026-05-18T00:09:10.504924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ebb02a41cf4ed8a8fc6cdbf79b0f8a616393cef3fec5773f3e39a02426de12e

Aliases

arxiv: 1508.07110 · arxiv_version: 1508.07110v2 · doi: 10.48550/arxiv.1508.07110 · pith_short_12: F25QFJA46TWY · pith_short_16: F25QFJA46TWYVD6G · pith_short_8: F25QFJA4

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/F25QFJA46TWYVD6GZW7XTMHYUY \
  | 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: 2ebb02a41cf4ed8a8fc6cdbf79b0f8a616393cef3fec5773f3e39a02426de12e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e2473c6e78a4d838b406fed8d74a75d68fa2f5d73e2ac71c2eb615180bff98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-28T07:23:37Z",
    "title_canon_sha256": "46f30a9268fb97f5954f1083c56c28e2f246d6a10e03e6874271f83d7fdc9c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07110",
    "kind": "arxiv",
    "version": 2
  }
}