Pith Number

pith:CSRI7X2R

pith:2011:CSRI7X2RZIDC2A6MKOOJQ6RLUB

not attested not anchored not stored refs pending

Waring's problem for polynomials in two variables

Arnaud Bodin, Mireille Car

arxiv:1104.0472 v3 · 2011-04-04 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSRI7X2RZIDC2A6MKOOJQ6RLUB}

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	2026-05-18T04:10:47.034140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a28fdf51ca062d03cc539c987a2ba04e050cce57865a5ab838307380f537a9

Aliases

arxiv: 1104.0472 · arxiv_version: 1104.0472v3 · doi: 10.48550/arxiv.1104.0472 · pith_short_12: CSRI7X2RZIDC · pith_short_16: CSRI7X2RZIDC2A6M · pith_short_8: CSRI7X2R

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/CSRI7X2RZIDC2A6MKOOJQ6RLUB \
  | 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: 14a28fdf51ca062d03cc539c987a2ba04e050cce57865a5ab838307380f537a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e23b5f40b3924fc62d9e2b10fdc26fcb6348c16074ed9f1af880d1f25957128",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-04T07:01:42Z",
    "title_canon_sha256": "a9e5221912e020749ffb00d857390529c7ac68fc09660eb0b12efb3251476663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0472",
    "kind": "arxiv",
    "version": 3
  }
}