Pith Number

pith:V24Y6R6C

pith:2013:V24Y6R6CNAW2E5Y4GNCOOEPCGI

not attested not anchored not stored refs pending

A Rolle type theorem for cyclicity of zeros of families of analytic functions

Alexander Brudnyi

arxiv:1308.2662 v1 · 2013-08-12 · 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{V24Y6R6CNAW2E5Y4GNCOOEPCGI}

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	2026-05-18T03:16:06.904113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb98f47c2682da2771c3344e711e2322580c0dc4787876013d3622f8d8445ee

Aliases

arxiv: 1308.2662 · arxiv_version: 1308.2662v1 · doi: 10.48550/arxiv.1308.2662 · pith_short_12: V24Y6R6CNAW2 · pith_short_16: V24Y6R6CNAW2E5Y4 · pith_short_8: V24Y6R6C

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/V24Y6R6CNAW2E5Y4GNCOOEPCGI \
  | 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: aeb98f47c2682da2771c3344e711e2322580c0dc4787876013d3622f8d8445ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9276067a850069d85f19b6686e3eb8e91769abd1b58406a4b69d0cd525152d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-12T19:53:13Z",
    "title_canon_sha256": "8b05410421ce6a3d18c209315d1528b397ce441d4714ba3691a5ea9a15e178d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2662",
    "kind": "arxiv",
    "version": 1
  }
}