Pith Number

pith:7GAWX7TB

pith:2011:7GAWX7TBIZNK2ECFW2HDILIDK7

not attested not anchored not stored refs pending

On the semicontinuity problem of fibers and global $F$-regularity

Kazuma Shimomoto

arxiv:1111.3020 v4 · 2011-11-13 · math.AG · 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{7GAWX7TBIZNK2ECFW2HDILIDK7}

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	2026-05-18T01:11:18.801663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9816bfe61465aad1045b68e342d0357f1041a219cd9641fb79a3d4c1b3d2002

Aliases

arxiv: 1111.3020 · arxiv_version: 1111.3020v4 · doi: 10.48550/arxiv.1111.3020 · pith_short_12: 7GAWX7TBIZNK · pith_short_16: 7GAWX7TBIZNK2ECF · pith_short_8: 7GAWX7TB

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/7GAWX7TBIZNK2ECFW2HDILIDK7 \
  | 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: f9816bfe61465aad1045b68e342d0357f1041a219cd9641fb79a3d4c1b3d2002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb1e807c61b743aed378c275c985a8247efc3134de6982a1348a4aa3c56fbc9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-13T15:07:30Z",
    "title_canon_sha256": "871ca835f4140617ff04ac8907e5a07e68d613c28369adb83bdceaf198eab533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3020",
    "kind": "arxiv",
    "version": 4
  }
}