Pith Number

pith:XV2D6BAV

pith:2015:XV2D6BAVFCZTY5XSOOWKDL4UFL

not attested not anchored not stored refs pending

Entire slice regular functions

Daniele C. Struppa, Fabrizio Colombo, Irene Sabadini

arxiv:1512.04215 v2 · 2015-12-14 · 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{XV2D6BAVFCZTY5XSOOWKDL4UFL}

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	2026-05-18T01:00:09.851005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd743f041528b33c76f273aca1af942adc1cbb63220900f6ce1d53dd54f16860

Aliases

arxiv: 1512.04215 · arxiv_version: 1512.04215v2 · doi: 10.48550/arxiv.1512.04215 · pith_short_12: XV2D6BAVFCZT · pith_short_16: XV2D6BAVFCZTY5XS · pith_short_8: XV2D6BAV

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/XV2D6BAVFCZTY5XSOOWKDL4UFL \
  | 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: bd743f041528b33c76f273aca1af942adc1cbb63220900f6ce1d53dd54f16860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf599fdf364bb194b9f20ce4b399bd4b6affe62b9690cb9e23ca748b74bd55e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-14T08:21:14Z",
    "title_canon_sha256": "caf62e34ddf7e6f26c0b3452d7f0fdbf2303554f9ddc63bc8b84ef65e4b758d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04215",
    "kind": "arxiv",
    "version": 2
  }
}