Pith Number

pith:FIW2XUGY

pith:2017:FIW2XUGYB2VZSBUGN4AFYFMG6W

not attested not anchored not stored refs pending

On approximate Gauss-Lucas theorems

Trevor Richards

arxiv:1706.05410 v1 · 2017-06-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIW2XUGYB2VZSBUGN4AFYFMG6W}

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	2026-05-18T00:42:11.721260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2dabd0d80eab9906866f005c1586f5941cf262fd407eec41ccbde2fae88004

Aliases

arxiv: 1706.05410 · arxiv_version: 1706.05410v1 · doi: 10.48550/arxiv.1706.05410 · pith_short_12: FIW2XUGYB2VZ · pith_short_16: FIW2XUGYB2VZSBUG · pith_short_8: FIW2XUGY

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/FIW2XUGYB2VZSBUGN4AFYFMG6W \
  | 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: 2a2dabd0d80eab9906866f005c1586f5941cf262fd407eec41ccbde2fae88004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb6054c3e5553bedad1a9d847b4a6b74ee0b86ab6327aa6b26e21926c24f0f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-06-16T19:28:34Z",
    "title_canon_sha256": "3d3a34e93c19e3c5fd38f2c5907f33a8f222533442553b6ca9e7a430cac9e889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05410",
    "kind": "arxiv",
    "version": 1
  }
}