Pith Number

pith:HT3C6AR6

pith:2012:HT3C6AR6CPWWCWBNRF2D7H4ONX

not attested not anchored not stored refs pending

A Counter-example to the Cancellation Problem for the Affine Space A^3 in characteristic p

Neena Gupta

arxiv:1208.0483 v2 · 2012-08-02 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT3C6AR6CPWWCWBNRF2D7H4ONX}

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	2026-05-18T03:35:40.963955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf62f023e13ed61582d89743f9f8e6dd9f75e25c0f0b2091af59c8594175413

Aliases

arxiv: 1208.0483 · arxiv_version: 1208.0483v2 · doi: 10.48550/arxiv.1208.0483 · pith_short_12: HT3C6AR6CPWW · pith_short_16: HT3C6AR6CPWWCWBN · pith_short_8: HT3C6AR6

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/HT3C6AR6CPWWCWBNRF2D7H4ONX \
  | 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: 3cf62f023e13ed61582d89743f9f8e6dd9f75e25c0f0b2091af59c8594175413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17d5d71fef3a6a2391e61f31bf456caee6e39013fe1529057c38c18d50031a7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-02T13:52:51Z",
    "title_canon_sha256": "edb934eb7fcd521c439ea7615f46bce553aa1de3f26d8da96ee75638912d6214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0483",
    "kind": "arxiv",
    "version": 2
  }
}