Pith Number

pith:UUQTLGEW

pith:2015:UUQTLGEWBKZXEPFGZQXBZ5TCSV

not attested not anchored not stored refs pending

Polynomials Meeting Ax's Bound

Xiang-dong Hou

arxiv:1512.04997 v1 · 2015-12-15 · 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{UUQTLGEWBKZXEPFGZQXBZ5TCSV}

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	2026-05-18T01:24:13.770748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5213598960ab3723ca6cc2e1cf662954bb1ce262e1e0be6ba4ef90bd7846b75

Aliases

arxiv: 1512.04997 · arxiv_version: 1512.04997v1 · doi: 10.48550/arxiv.1512.04997 · pith_short_12: UUQTLGEWBKZX · pith_short_16: UUQTLGEWBKZXEPFG · pith_short_8: UUQTLGEW

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/UUQTLGEWBKZXEPFGZQXBZ5TCSV \
  | 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: a5213598960ab3723ca6cc2e1cf662954bb1ce262e1e0be6ba4ef90bd7846b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae39620c98eb71ca6c2013ef274630cd39880c93dc49baa60eb2f38221c38b01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-15T22:38:27Z",
    "title_canon_sha256": "83b3c444068e357928c43bf49ab0d39386f2bd4fb7d260964b5210278fa5fc52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04997",
    "kind": "arxiv",
    "version": 1
  }
}