Pith Number

pith:VYRDH5RV

pith:2012:VYRDH5RV2CCW2OIAV2FYEWR6KS

not attested not anchored not stored refs pending

On the constancy regions for mixed test ideals

Felipe P\'erez

arxiv:1208.5158 v3 · 2012-08-25 · 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{VYRDH5RV2CCW2OIAV2FYEWR6KS}

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	2026-05-18T03:39:16.231875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2233f635d0856d3900ae8b825a3e54a029102c60e8b9c0270ee22ddfb3c4d3

Aliases

arxiv: 1208.5158 · arxiv_version: 1208.5158v3 · doi: 10.48550/arxiv.1208.5158 · pith_short_12: VYRDH5RV2CCW · pith_short_16: VYRDH5RV2CCW2OIA · pith_short_8: VYRDH5RV

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/VYRDH5RV2CCW2OIAV2FYEWR6KS \
  | 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: ae2233f635d0856d3900ae8b825a3e54a029102c60e8b9c0270ee22ddfb3c4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b911f507aa2f35d37a84ce42739bb516afe0821ab4d3d10a1d780e4c13face8a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-25T18:34:49Z",
    "title_canon_sha256": "79973de19766b8f3f148d09fc2d2c061a372c4ecb1d470f7dccede83147cd339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5158",
    "kind": "arxiv",
    "version": 3
  }
}