Pith Number

pith:4CX43T2F

pith:2011:4CX43T2FXGDYB5C3OLEZSH3D6V

not attested not anchored not stored refs pending

Continuous horizontally rigid functions of two variables are affine

M\'arton Elekes, Rich\'ard Balka

arxiv:1109.4933 v1 · 2011-09-22 · 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{4CX43T2FXGDYB5C3OLEZSH3D6V}

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	2026-05-18T04:12:32.611616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0afcdcf45b98780f45b72c9991f63f56a7447097314b1a0fbe133b2f4e639d1

Aliases

arxiv: 1109.4933 · arxiv_version: 1109.4933v1 · doi: 10.48550/arxiv.1109.4933 · pith_short_12: 4CX43T2FXGDY · pith_short_16: 4CX43T2FXGDYB5C3 · pith_short_8: 4CX43T2F

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/4CX43T2FXGDYB5C3OLEZSH3D6V \
  | 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: e0afcdcf45b98780f45b72c9991f63f56a7447097314b1a0fbe133b2f4e639d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e799fcdf2bdbe6b2e0fcd4ad98781299e898d101ee4574cb27a4b26e436b60d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-22T19:57:38Z",
    "title_canon_sha256": "eadba60cce867f2b8764d8a3c8bceac13dd88ad1361e7981d6e6696450d666cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4933",
    "kind": "arxiv",
    "version": 1
  }
}