Pith Number

pith:MIWNEPAX

pith:2014:MIWNEPAXNP3VTVVWDCIY2NAQOP

not attested not anchored not stored refs pending

Border Basis relaxation for polynomial optimization

Bernard Mourrain (GALAAD2), Marta Abril Bucero (GALAAD2)

arxiv:1404.5489 v3 · 2014-04-22 · 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{MIWNEPAXNP3VTVVWDCIY2NAQOP}

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	2026-05-18T01:34:55.548786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622cd23c176bf759d6b618918d341073d437967f284c6ee114522867eac31b49

Aliases

arxiv: 1404.5489 · arxiv_version: 1404.5489v3 · doi: 10.48550/arxiv.1404.5489 · pith_short_12: MIWNEPAXNP3V · pith_short_16: MIWNEPAXNP3VTVVW · pith_short_8: MIWNEPAX

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/MIWNEPAXNP3VTVVWDCIY2NAQOP \
  | 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: 622cd23c176bf759d6b618918d341073d437967f284c6ee114522867eac31b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164693eeddce1fd369b231ef8b8eadf2e504ace99282229e42be84ecb7b8621a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-22T13:25:12Z",
    "title_canon_sha256": "02c53305baf0025b12ca16046f977d6df0e8c8ae72ddc3bd19150161dd5318d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5489",
    "kind": "arxiv",
    "version": 3
  }
}