Pith Number

pith:VZRJ2YWI

pith:2015:VZRJ2YWI5KOLERPHWE7LCXOHP2

not attested not anchored not stored refs pending

From the Fundamental Theorem of Algebra to Kempe's Universality Theorem

G\'abor Heged\"us, Hans-Peter Schr\"ocker, Josef Schicho, Zijia Li

arxiv:1507.05317 v1 · 2015-07-19 · math.RA · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZRJ2YWI5KOLERPHWE7LCXOHP2}

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	2026-05-18T01:36:37.201436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae629d62c8ea9cb245e7b13eb15dc77ea1d668c77b02cbe988f0d950fa687bf2

Aliases

arxiv: 1507.05317 · arxiv_version: 1507.05317v1 · doi: 10.48550/arxiv.1507.05317 · pith_short_12: VZRJ2YWI5KOL · pith_short_16: VZRJ2YWI5KOLERPH · pith_short_8: VZRJ2YWI

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/VZRJ2YWI5KOLERPHWE7LCXOHP2 \
  | 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: ae629d62c8ea9cb245e7b13eb15dc77ea1d668c77b02cbe988f0d950fa687bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c9152ca93262fea853d193b4c56f76c314e2631addb54a04aa05c6a56340ba",
    "cross_cats_sorted": [
      "cs.RO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-19T18:37:12Z",
    "title_canon_sha256": "70a4eb34acb86ab57230ddbcb8f0a9554b6a60b0f98d6659e6e14954af5ca6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05317",
    "kind": "arxiv",
    "version": 1
  }
}