Pith Number

pith:UCX7K3OO

pith:2011:UCX7K3OOL4KLRGSFZNDDLM64K6

not attested not anchored not stored refs pending

Fourier-Mukai functors: a survey

Alberto Canonaco, Paolo Stellari

arxiv:1109.3083 v2 · 2011-09-14 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCX7K3OOL4KLRGSFZNDDLM64K6}

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	2026-05-18T03:42:21.538288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0aff56dce5f14b89a45cb4635b3dc579a33c4f72fa5877f0dbf606d344f7893

Aliases

arxiv: 1109.3083 · arxiv_version: 1109.3083v2 · doi: 10.48550/arxiv.1109.3083 · pith_short_12: UCX7K3OOL4KL · pith_short_16: UCX7K3OOL4KLRGSF · pith_short_8: UCX7K3OO

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/UCX7K3OOL4KLRGSFZNDDLM64K6 \
  | 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: a0aff56dce5f14b89a45cb4635b3dc579a33c4f72fa5877f0dbf606d344f7893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe11b7cef012fd9e11f870c0cba5d68fc03d1def12082bbd88876fa016887ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-14T14:04:10Z",
    "title_canon_sha256": "d10d543107b14b6f7f164383ec3896e192a1570e3b30ce3023bffdf7f42f8788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3083",
    "kind": "arxiv",
    "version": 2
  }
}