Pith Number

pith:XPXHJBGV

pith:2013:XPXHJBGV6HIGCH5DDLEPCB7L4Y

not attested not anchored not stored refs pending

The Euclidean distance degree of an algebraic variety

Bernd Sturmfels, Emil Horobet, Giorgio Ottaviani, Jan Draisma, Rekha R. Thomas

arxiv:1309.0049 v3 · 2013-08-31 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPXHJBGV6HIGCH5DDLEPCB7L4Y}

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.

Cited by

1 paper in Pith

Semi-interlaced polytopes

Receipt and verification

First computed	2026-05-18T02:32:39.032833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbee7484d5f1d0611fa31ac8f107ebe61b650d63512f3e16f1888e52aeeae74c

Aliases

arxiv: 1309.0049 · arxiv_version: 1309.0049v3 · doi: 10.48550/arxiv.1309.0049 · pith_short_12: XPXHJBGV6HIG · pith_short_16: XPXHJBGV6HIGCH5D · pith_short_8: XPXHJBGV

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/XPXHJBGV6HIGCH5DDLEPCB7L4Y \
  | 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: bbee7484d5f1d0611fa31ac8f107ebe61b650d63512f3e16f1888e52aeeae74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d1ad0a8804dee6b8371cc33c434bbdab9cfccc6bfbb1c1cf58397c9810c059",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-31T00:04:27Z",
    "title_canon_sha256": "e3ffccd761f655223eac97609a85d9e8d5ce774121717dcb2d0cedb06258fedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0049",
    "kind": "arxiv",
    "version": 3
  }
}