Pith Number

pith:P3HKCCOJ

pith:2024:P3HKCCOJB3KR4QOTK3BLEYLIC5

not attested not anchored not stored refs pending

Localizing and colocalizing subcategories on schemes

Ana Jerem\'ias, Eduardo Loureiro, Leovigildo Alonso

arxiv:2405.10383 v3 · 2024-05-16 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3HKCCOJB3KR4QOTK3BLEYLIC5}

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	2026-06-09T02:06:59.349800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecea109c90ed51e41d356c2b261681772586c4026095f73e93facae274f678a

Aliases

arxiv: 2405.10383 · arxiv_version: 2405.10383v3 · doi: 10.48550/arxiv.2405.10383 · pith_short_12: P3HKCCOJB3KR · pith_short_16: P3HKCCOJB3KR4QOT · pith_short_8: P3HKCCOJ

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/P3HKCCOJB3KR4QOTK3BLEYLIC5 \
  | 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: 7ecea109c90ed51e41d356c2b261681772586c4026095f73e93facae274f678a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f49cd3f1d5192c66a39653e984a98cf639fdb17a5eceb8433cab8a5252a1dd5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-16T18:23:51Z",
    "title_canon_sha256": "c17d1c1ff0bb5e2c0e0828d5b237851c4b3af02f88e2e109930ec68f2eb8943f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.10383",
    "kind": "arxiv",
    "version": 3
  }
}