Pith Number

pith:XT2X6W2G

pith:2011:XT2X6W2G5T73ARJW6ALXA73G7Z

not attested not anchored not stored refs pending

Monomialization of morphisms and p-adic quantifier elimination

Jan Denef

arxiv:1108.6237 v1 · 2011-08-31 · math.AG · math.LO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XT2X6W2G5T73ARJW6ALXA73G7Z}

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	2026-05-18T04:14:26.738406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf57f5b46ecffb04536f017707f66fe5495b4c26aa4b1b05dc8baac5c335159

Aliases

arxiv: 1108.6237 · arxiv_version: 1108.6237v1 · doi: 10.48550/arxiv.1108.6237 · pith_short_12: XT2X6W2G5T73 · pith_short_16: XT2X6W2G5T73ARJW · pith_short_8: XT2X6W2G

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/XT2X6W2G5T73ARJW6ALXA73G7Z \
  | 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: bcf57f5b46ecffb04536f017707f66fe5495b4c26aa4b1b05dc8baac5c335159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc527242a189f5fb4d00819dbfb2f2bfb87707d5beb588ce962a9bfd44f5747a",
    "cross_cats_sorted": [
      "math.LO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-31T14:21:10Z",
    "title_canon_sha256": "a5c2600a0ed6b6dc0773af8d3574c8e9c73949090263941f1f156f8ba7a96fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6237",
    "kind": "arxiv",
    "version": 1
  }
}