Pith Number

pith:QGSXNXM4

pith:2011:QGSXNXM4W5NI64VFNPHKRWJPRV

not attested not anchored not stored refs pending

Generalized Serre conditions and perverse coherent sheaves

Christopher L. Bremer, Daniel S. Sage

arxiv:1106.2616 v1 · 2011-06-14 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGSXNXM4W5NI64VFNPHKRWJPRV}

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	2026-05-18T03:12:33.531228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a576dd9cb75a8f72a56bcea8d92f8d7afaa4f25c5884e09a4e642daa248994

Aliases

arxiv: 1106.2616 · arxiv_version: 1106.2616v1 · doi: 10.48550/arxiv.1106.2616 · pith_short_12: QGSXNXM4W5NI · pith_short_16: QGSXNXM4W5NI64VF · pith_short_8: QGSXNXM4

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/QGSXNXM4W5NI64VFNPHKRWJPRV \
  | 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: 81a576dd9cb75a8f72a56bcea8d92f8d7afaa4f25c5884e09a4e642daa248994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9312e2ad83fa254c0bc1062778c6d2aed36c386f76da213ff15142ec876ce786",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-14T06:04:34Z",
    "title_canon_sha256": "e51827a6be239e4cb158ad37cdb68d5a5cd7ea0a215f8a6d73a0aeda4ac354ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2616",
    "kind": "arxiv",
    "version": 1
  }
}