Pith Number

pith:DTPNL2L5

pith:2012:DTPNL2L5JKFIWPKXHZJLJZQJ3E

not attested not anchored not stored refs pending

The quot functor of a quasi-coherent sheaf

Gennaro di Brino

arxiv:1212.4544 v4 · 2012-12-19 · 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{DTPNL2L5JKFIWPKXHZJLJZQJ3E}

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	2026-05-18T00:44:10.405930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cded5e97d4a8a8b3d573e52b4e609d921df40e712af3708508960acee3f5420

Aliases

arxiv: 1212.4544 · arxiv_version: 1212.4544v4 · doi: 10.48550/arxiv.1212.4544 · pith_short_12: DTPNL2L5JKFI · pith_short_16: DTPNL2L5JKFIWPKX · pith_short_8: DTPNL2L5

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/DTPNL2L5JKFIWPKXHZJLJZQJ3E \
  | 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: 1cded5e97d4a8a8b3d573e52b4e609d921df40e712af3708508960acee3f5420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa78331b752c2964844dccb1f4fc13785ca157aec478ad71dda6f493f07b9c8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-19T00:39:13Z",
    "title_canon_sha256": "672c03086bf26a2d5fc9806d4a89aaeb47bc043036b1da1028c83b311a0a771d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4544",
    "kind": "arxiv",
    "version": 4
  }
}