Pith Number

pith:Z5KDDAFQ

pith:2011:Z5KDDAFQBDSKMQDKCHQU3D6K6J

not attested not anchored not stored refs pending

Rational morphisms between quasilinear hypersurfaces

Stephen Scully

arxiv:1111.3869 v1 · 2011-11-16 · 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{Z5KDDAFQBDSKMQDKCHQU3D6K6J}

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	2026-05-18T03:07:02.326873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf543180b008e4a6406a11e14d8fcaf2732eb8aacb38c2e29424aedd8e08dcc4

Aliases

arxiv: 1111.3869 · arxiv_version: 1111.3869v1 · doi: 10.48550/arxiv.1111.3869 · pith_short_12: Z5KDDAFQBDSK · pith_short_16: Z5KDDAFQBDSKMQDK · pith_short_8: Z5KDDAFQ

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/Z5KDDAFQBDSKMQDKCHQU3D6K6J \
  | 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: cf543180b008e4a6406a11e14d8fcaf2732eb8aacb38c2e29424aedd8e08dcc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6de53f2a55ab0db667118f8a0ad6d59d4b84590b58294e75108aa791302cc53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-16T16:57:59Z",
    "title_canon_sha256": "e626cc47e0adc79cca4e47eeace437482e5b718d68433b75601dbd126b2b739f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3869",
    "kind": "arxiv",
    "version": 1
  }
}