Pith Number

pith:4QLPTT4J

pith:2019:4QLPTT4JJCP3RUCZ5M4TSPUICK

not attested not anchored not stored refs pending

Characterizing the increase of the residual order under blowup in positive characteristic

Herwig Hauser, Stefan Perlega

arxiv:1906.09593 v1 · 2019-06-23 · 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{4QLPTT4JJCP3RUCZ5M4TSPUICK}

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	2026-05-17T23:42:37.454826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e416f9cf89489fb8d059eb39393e88128b429f689d15c4a5affe715095c16edd

Aliases

arxiv: 1906.09593 · arxiv_version: 1906.09593v1 · doi: 10.48550/arxiv.1906.09593 · pith_short_12: 4QLPTT4JJCP3 · pith_short_16: 4QLPTT4JJCP3RUCZ · pith_short_8: 4QLPTT4J

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/4QLPTT4JJCP3RUCZ5M4TSPUICK \
  | 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: e416f9cf89489fb8d059eb39393e88128b429f689d15c4a5affe715095c16edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c2a5ba03d1e774f2c1fce09c5392c6262fa0175950a4369fdd6a53cffd4f63",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-23T13:08:53Z",
    "title_canon_sha256": "ec0e9d7061cc6973cce68d2648df18c38040b024b89aa0707ac45c1692fb61de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09593",
    "kind": "arxiv",
    "version": 1
  }
}