Pith Number

pith:Q4DHP6O6

pith:2017:Q4DHP6O6KVXB6RGMOWAOUZERL7

not attested not anchored not stored refs pending

A note on unavoidable sets for a spherical curve of reductivity four

Ayaka Shimizu, Kenji Kashiwabara

arxiv:1705.02450 v3 · 2017-05-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4DHP6O6KVXB6RGMOWAOUZERL7}

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	2026-05-18T00:03:37.336899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870677f9de556e1f44cc7580ea64915fc0bb19132133a07d90f7c21bbfa39a7b

Aliases

arxiv: 1705.02450 · arxiv_version: 1705.02450v3 · doi: 10.48550/arxiv.1705.02450 · pith_short_12: Q4DHP6O6KVXB · pith_short_16: Q4DHP6O6KVXB6RGM · pith_short_8: Q4DHP6O6

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/Q4DHP6O6KVXB6RGMOWAOUZERL7 \
  | 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: 870677f9de556e1f44cc7580ea64915fc0bb19132133a07d90f7c21bbfa39a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a89bd4342f6bcbf6235a1b197fbb53d4b5156f8a5d82aec951e2c9e57f5873f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-06T05:54:02Z",
    "title_canon_sha256": "cf7eb4c55525c4c3af54a123b0329dfb13ab9fd5e350869a3dbd30f2e540a9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02450",
    "kind": "arxiv",
    "version": 3
  }
}