Pith Number

pith:HXRLBDNA

pith:2015:HXRLBDNA7FOBMR53HWBCXX63XK

not attested not anchored not stored refs pending

Non-existence of torically maximal hypersurfaces

Erwan Brugall\'e, Grigory Mikhalkin, Jean-Jacques Risler, Kristin Shaw

arxiv:1506.02813 v2 · 2015-06-09 · math.AG · 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{HXRLBDNA7FOBMR53HWBCXX63XK}

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	2026-05-18T00:52:53.218202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de2b08da0f95c1647bb3d822bdfdbbaa44283a854aded1e8cd3ce5aa24d69d7

Aliases

arxiv: 1506.02813 · arxiv_version: 1506.02813v2 · doi: 10.48550/arxiv.1506.02813 · pith_short_12: HXRLBDNA7FOB · pith_short_16: HXRLBDNA7FOBMR53 · pith_short_8: HXRLBDNA

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/HXRLBDNA7FOBMR53HWBCXX63XK \
  | 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: 3de2b08da0f95c1647bb3d822bdfdbbaa44283a854aded1e8cd3ce5aa24d69d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cd731cb06af3ea3dc453b093b99f70449465e96bd9e858ffa17e623fee3652",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-09T07:59:21Z",
    "title_canon_sha256": "3bd21cd69d6ff8a4d50391faa48f4b33623c2fe2e8ae1edf05acf836eeaacc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02813",
    "kind": "arxiv",
    "version": 2
  }
}