Pith Number

pith:HTTJZEXN

pith:2015:HTTJZEXNE4IBAW2PLPRV56FWIJ

not attested not anchored not stored refs pending

Solutions of polynomial equation over $\mathbb{F}_p$ and new bounds of additive energy

Ilya Vyugin, Sergey Makarychev

arxiv:1504.01354 v2 · 2015-03-26 · 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{HTTJZEXNE4IBAW2PLPRV56FWIJ}

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	2026-05-18T01:32:10.435795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce69c92ed2710105b4f5be35ef8b6427cdd7a1a7c92e1ed6cb2ebd1918f6ea0

Aliases

arxiv: 1504.01354 · arxiv_version: 1504.01354v2 · doi: 10.48550/arxiv.1504.01354 · pith_short_12: HTTJZEXNE4IB · pith_short_16: HTTJZEXNE4IBAW2P · pith_short_8: HTTJZEXN

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/HTTJZEXNE4IBAW2PLPRV56FWIJ \
  | 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: 3ce69c92ed2710105b4f5be35ef8b6427cdd7a1a7c92e1ed6cb2ebd1918f6ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb5b9ea8cb739536c9b425e995567b0e6d4a5b4cac84ba84ec541915c1300a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-26T15:34:29Z",
    "title_canon_sha256": "7c13b0e919b456fbb7842cf50f4ba7728b2a7a9a85af378797761a9fdc4e54df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01354",
    "kind": "arxiv",
    "version": 2
  }
}