Pith Number

pith:IAA64HDX

pith:2011:IAA64HDXMTREP2WQ27MK4APBEM

not attested not anchored not stored refs pending

Cohomological descent theory for a morphism of stacks and for equivariant derived categories

Alexey Elagin

arxiv:1103.3135 v1 · 2011-03-16 · 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{IAA64HDXMTREP2WQ27MK4APBEM}

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	2026-05-18T02:02:50.960894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4001ee1c7764e247ead0d7d8ae01e1233992a78ff730570172254c15a4b6107c

Aliases

arxiv: 1103.3135 · arxiv_version: 1103.3135v1 · doi: 10.48550/arxiv.1103.3135 · pith_short_12: IAA64HDXMTRE · pith_short_16: IAA64HDXMTREP2WQ · pith_short_8: IAA64HDX

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/IAA64HDXMTREP2WQ27MK4APBEM \
  | 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: 4001ee1c7764e247ead0d7d8ae01e1233992a78ff730570172254c15a4b6107c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbccc0612d28a3c2fbefde0e29df7f0ba06aefe86694aa4569857487b646af51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-16T09:54:00Z",
    "title_canon_sha256": "eb77d2c89a2ea45071fe0bd1ef8ea3f2f489c00217df8a0198c7506a25f407fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3135",
    "kind": "arxiv",
    "version": 1
  }
}