Pith Number

pith:QSC7XNIT

pith:2015:QSC7XNITZE5DO2CUNC2HDXIPSK

not attested not anchored not stored refs pending

Automorphism groups of Koras-Russell threefolds of the second kind

Charlie Petitjean

arxiv:1507.06087 v1 · 2015-07-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSC7XNITZE5DO2CUNC2HDXIPSK}

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	2026-05-18T01:36:26.717358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8485fbb513c93a37685468b471dd0f929909f07b476679ae76ee45465b10a4f3

Aliases

arxiv: 1507.06087 · arxiv_version: 1507.06087v1 · doi: 10.48550/arxiv.1507.06087 · pith_short_12: QSC7XNITZE5D · pith_short_16: QSC7XNITZE5DO2CU · pith_short_8: QSC7XNIT

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/QSC7XNITZE5DO2CUNC2HDXIPSK \
  | 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: 8485fbb513c93a37685468b471dd0f929909f07b476679ae76ee45465b10a4f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffdea71feb7092254c711d0516c72e9f425297a5b0dc1864d6807af7cf23a0d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-22T07:44:05Z",
    "title_canon_sha256": "ba4d96ec493b4a74be26a3e064e5ec1715bf5f349a976871b0503e4705ce8897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06087",
    "kind": "arxiv",
    "version": 1
  }
}