Pith Number

pith:FXRLHN7M

pith:2015:FXRLHN7MQJ5ACHQUDMA5JCW33X

not attested not anchored not stored refs pending

Multiple discriminants and critical values of a multivariate polynomial

Ruslan Sharipov

arxiv:1508.00551 v1 · 2015-08-03 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXRLHN7MQJ5ACHQUDMA5JCW33X}

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	2026-05-18T01:35:57.830204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de2b3b7ec827a011e141b01d48adbddd8c8838528b324f8a0d23e7fc0de4b34

Aliases

arxiv: 1508.00551 · arxiv_version: 1508.00551v1 · doi: 10.48550/arxiv.1508.00551 · pith_short_12: FXRLHN7MQJ5A · pith_short_16: FXRLHN7MQJ5ACHQU · pith_short_8: FXRLHN7M

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/FXRLHN7MQJ5ACHQUDMA5JCW33X \
  | 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: 2de2b3b7ec827a011e141b01d48adbddd8c8838528b324f8a0d23e7fc0de4b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613a9ac52e50c6cdae4639880dd9c838dae23acda4367e656d072b74eca14c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-03T19:48:43Z",
    "title_canon_sha256": "21ebbf120597072a14c7445dddcb29f4349e2f3435ef1ef55f5c9fb8f946e7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00551",
    "kind": "arxiv",
    "version": 1
  }
}