Pith Number

pith:ZH6DY75K

pith:2015:ZH6DY75KAIY3QX4KNSXR6K5X33

not attested not anchored not stored refs pending

Root Configurations of Real Univariate Cubics and Quartics

David A. Weinberg, Elias Gonzalez

arxiv:1511.07489 v2 · 2015-11-23 · math.AC · 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{ZH6DY75KAIY3QX4KNSXR6K5X33}

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	2026-05-18T00:26:30.915939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fc3c7faa0231b85f8a6caf1f2bb7defef9203f9f78900d4212747fd156d5c4

Aliases

arxiv: 1511.07489 · arxiv_version: 1511.07489v2 · doi: 10.48550/arxiv.1511.07489 · pith_short_12: ZH6DY75KAIY3 · pith_short_16: ZH6DY75KAIY3QX4K · pith_short_8: ZH6DY75K

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/ZH6DY75KAIY3QX4KNSXR6K5X33 \
  | 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: c9fc3c7faa0231b85f8a6caf1f2bb7defef9203f9f78900d4212747fd156d5c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bdce2824a82d63d64f97eac99c14318827b313238e93eda48c6aedc7d52fd25",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-11-23T22:12:17Z",
    "title_canon_sha256": "1104d116463f379fd28c9ed6a8c7e1bfc01b04b7958b8719318a1f3713e29f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07489",
    "kind": "arxiv",
    "version": 2
  }
}