Pith Number

pith:V3SJ7SBK

pith:2015:V3SJ7SBKOMRUPSFAE4PJ74VKFF

not attested not anchored not stored refs pending

Conditional expanding bounds for two-variable functions over finite valuation rings

Le Anh Vinh, Le Quang Ham, Thang Pham

arxiv:1510.03479 v2 · 2015-10-12 · 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{V3SJ7SBKOMRUPSFAE4PJ74VKFF}

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	2026-05-18T00:57:38.188033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee49fc82a732347c8a0271e9ff2aa294a63ca82ad62ab199986817244b74366

Aliases

arxiv: 1510.03479 · arxiv_version: 1510.03479v2 · doi: 10.48550/arxiv.1510.03479 · pith_short_12: V3SJ7SBKOMRU · pith_short_16: V3SJ7SBKOMRUPSFA · pith_short_8: V3SJ7SBK

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/V3SJ7SBKOMRUPSFAE4PJ74VKFF \
  | 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: aee49fc82a732347c8a0271e9ff2aa294a63ca82ad62ab199986817244b74366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2601f9dcd0a6aa1309d3e5316668d1f73d6e2aaa91a3ec955b0709d27743de64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-12T22:52:10Z",
    "title_canon_sha256": "67723a63b532376a290c34da956be0116d53e7b0ed9b7eb55b1acd09992e3645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03479",
    "kind": "arxiv",
    "version": 2
  }
}