Pith Number

pith:4BPJGKB5

pith:2012:4BPJGKB5ZDTR6W5ZZ63TFNSRNB

not attested not anchored not stored refs pending

Tensor functors between categories of quasi-coherent sheaves

Alexandru Chirvasitu, Martin Brandenburg

arxiv:1202.5147 v2 · 2012-02-23 · 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{4BPJGKB5ZDTR6W5ZZ63TFNSRNB}

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	2026-05-18T02:41:09.266772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05e93283dc8e71f5bb9cfb732b651685c20ccf3dedfea91e299ab4c4622ab9b

Aliases

arxiv: 1202.5147 · arxiv_version: 1202.5147v2 · doi: 10.48550/arxiv.1202.5147 · pith_short_12: 4BPJGKB5ZDTR · pith_short_16: 4BPJGKB5ZDTR6W5Z · pith_short_8: 4BPJGKB5

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/4BPJGKB5ZDTR6W5ZZ63TFNSRNB \
  | 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: e05e93283dc8e71f5bb9cfb732b651685c20ccf3dedfea91e299ab4c4622ab9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfbd2106f8edd5812808a432b635ebfc24400a7d0c079f4be4833117255d32e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-23T10:48:16Z",
    "title_canon_sha256": "fc246748d00ec839087c95f911d7691cb5ae7a64f478e7d7915b782c790dc26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5147",
    "kind": "arxiv",
    "version": 2
  }
}