Pith Number

pith:FJW6V5GV

pith:2015:FJW6V5GVJEW77ELCWPQOIQSLQZ

not attested not anchored not stored refs pending

From $r$-Linearized Polynomial Equations to $r^m$-Linearized Polynomial Equations

Neranga Fernando, Xiang-dong Hou

arxiv:1503.03162 v1 · 2015-03-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJW6V5GVJEW77ELCWPQOIQSLQZ}

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	2026-05-18T02:25:04.186666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6deaf4d5492dff9162b3e0e4424b867920cb95998b1232b9c6c33a226f3ebe

Aliases

arxiv: 1503.03162 · arxiv_version: 1503.03162v1 · doi: 10.48550/arxiv.1503.03162 · pith_short_12: FJW6V5GVJEW7 · pith_short_16: FJW6V5GVJEW77ELC · pith_short_8: FJW6V5GV

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/FJW6V5GVJEW77ELCWPQOIQSLQZ \
  | 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: 2a6deaf4d5492dff9162b3e0e4424b867920cb95998b1232b9c6c33a226f3ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661dac8784b77f24bbbf13324e69cd83e10f19c1e9c6b46842b0fa96f2bea72c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-11T03:30:18Z",
    "title_canon_sha256": "c0b4412b57d81277059f6253c0dfe2100d5c337b33c2519002b4b9d17c0b5456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03162",
    "kind": "arxiv",
    "version": 1
  }
}