Pith Number

pith:PNGMLCKE

pith:2011:PNGMLCKE4FJ7WMD4IJWOFALYEG

not attested not anchored not stored refs pending

On the topology of polynomials with bounded integer coefficients

De-Jun Feng

arxiv:1109.1407 v3 · 2011-09-07 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNGMLCKE4FJ7WMD4IJWOFALYEG}

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	2026-05-18T02:28:13.670362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4cc58944e153fb307c426ce28178218d685c8e9d9f403c7a8907a9109eb78f

Aliases

arxiv: 1109.1407 · arxiv_version: 1109.1407v3 · doi: 10.48550/arxiv.1109.1407 · pith_short_12: PNGMLCKE4FJ7 · pith_short_16: PNGMLCKE4FJ7WMD4 · pith_short_8: PNGMLCKE

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/PNGMLCKE4FJ7WMD4IJWOFALYEG \
  | 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: 7b4cc58944e153fb307c426ce28178218d685c8e9d9f403c7a8907a9109eb78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2f2c1c7052bed569e16f4227231a7e04a692d5d97695d6135dddd9231a4d6b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-07T10:00:54Z",
    "title_canon_sha256": "216660c8d2c4fa303fe23bc427da983a5e0cc484b81f2edc843924ae28f8fdca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1407",
    "kind": "arxiv",
    "version": 3
  }
}