Pith Number

pith:GAHN5YIR

pith:2011:GAHN5YIRFNTRLCNKXEZYZUGH6Y

not attested not anchored not stored refs pending

Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras

Valery A. Lunts

arxiv:1102.2884 v4 · 2011-02-14 · 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{GAHN5YIRFNTRLCNKXEZYZUGH6Y}

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	2026-05-18T04:22:39.859155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300edee1112b671589aab9338cd0c7f61e049c609316b9ae5fdd930c836abafd

Aliases

arxiv: 1102.2884 · arxiv_version: 1102.2884v4 · doi: 10.48550/arxiv.1102.2884 · pith_short_12: GAHN5YIRFNTR · pith_short_16: GAHN5YIRFNTRLCNK · pith_short_8: GAHN5YIR

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/GAHN5YIRFNTRLCNKXEZYZUGH6Y \
  | 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: 300edee1112b671589aab9338cd0c7f61e049c609316b9ae5fdd930c836abafd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd595c7f487e09ce74c0d6439949c7f107f3d861582959cd7b38af260f05323e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-14T20:49:09Z",
    "title_canon_sha256": "e517726e5f603e33b12aadb9fbdd6c938f7a1dfee4fbd0459d50e8b728986874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2884",
    "kind": "arxiv",
    "version": 4
  }
}