Pith Number

pith:J2UDCHR2

pith:2011:J2UDCHR2EKM6HJFPHXVB247GOG

not attested not anchored not stored refs pending

Discriminant of system of equations

Alexander Esterov

arxiv:1110.4060 v2 · 2011-10-18 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2UDCHR2EKM6HJFPHXVB247GOG}

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	2026-05-18T03:15:32.748963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea8311e3a2299e3a4af3dea1d73e6719e940103e57d432f02c10cc5aa1fe41c

Aliases

arxiv: 1110.4060 · arxiv_version: 1110.4060v2 · doi: 10.48550/arxiv.1110.4060 · pith_short_12: J2UDCHR2EKM6 · pith_short_16: J2UDCHR2EKM6HJFP · pith_short_8: J2UDCHR2

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/J2UDCHR2EKM6HJFPHXVB247GOG \
  | 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: 4ea8311e3a2299e3a4af3dea1d73e6719e940103e57d432f02c10cc5aa1fe41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036c1c27193a3196bdf3b1264778c4729d18b0c71f61b4eb5e5ef78507d2fe4d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-18T17:34:50Z",
    "title_canon_sha256": "0a4f1368b4ee42374820ff41f828671f15fb9128bf8275666834ceb1dd97df88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4060",
    "kind": "arxiv",
    "version": 2
  }
}