Pith Number

pith:YXDTTGM6

pith:2011:YXDTTGM6SPSGRP5XY2YKQSMYXF

not attested not anchored not stored refs pending

Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)

Kazuma Shimomoto, Tadashi Ochiai

arxiv:1108.4708 v3 · 2011-08-23 · math.NT · 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{YXDTTGM6SPSGRP5XY2YKQSMYXF}

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	2026-05-18T01:46:14.489825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c739999e93e468bfb7c6b0a84998b9566fee9053cdb52c81db5c4ed38c29a4

Aliases

arxiv: 1108.4708 · arxiv_version: 1108.4708v3 · doi: 10.48550/arxiv.1108.4708 · pith_short_12: YXDTTGM6SPSG · pith_short_16: YXDTTGM6SPSGRP5X · pith_short_8: YXDTTGM6

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/YXDTTGM6SPSGRP5XY2YKQSMYXF \
  | 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: c5c739999e93e468bfb7c6b0a84998b9566fee9053cdb52c81db5c4ed38c29a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0d818d765e03cffdd80e93af6befca048ab74c5d1658954fbe8d52d560a3aa",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-23T21:42:24Z",
    "title_canon_sha256": "fb33154b874779aecff725b61d67f7c15352da786d5e4f48cce9f8a2652bdd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4708",
    "kind": "arxiv",
    "version": 3
  }
}