Pith Number

pith:IHLHOXM5

pith:2018:IHLHOXM55Z4P3MQKO4QYDU4BQ2

not attested not anchored not stored refs pending

Semistable reduction in characteristic 0

Gaku Liu, Karim Adiprasito, Michael Temkin

arxiv:1810.03131 v2 · 2018-10-07 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHLHOXM55Z4P3MQKO4QYDU4BQ2}

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	2026-05-17T23:43:17.452521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d6775d9dee78fdb20a772181d3818699c662ff0e2726a8abc595aac99296a2

Aliases

arxiv: 1810.03131 · arxiv_version: 1810.03131v2 · doi: 10.48550/arxiv.1810.03131 · pith_short_12: IHLHOXM55Z4P · pith_short_16: IHLHOXM55Z4P3MQK · pith_short_8: IHLHOXM5

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/IHLHOXM55Z4P3MQKO4QYDU4BQ2 \
  | 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: 41d6775d9dee78fdb20a772181d3818699c662ff0e2726a8abc595aac99296a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b7982aa852abb17fe199fc75708c3450338ed15bf5faacfb3b4b68fa5a2c5f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-07T12:20:26Z",
    "title_canon_sha256": "3ed1cf8a9f69dd8acfaeaee0802bd231bdd118c80a9b55730d1f53cf7f3b9f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03131",
    "kind": "arxiv",
    "version": 2
  }
}