Pith Number

pith:GYEBJAZN

pith:2011:GYEBJAZNN6RBBMKXBTOARAE2SR

not attested not anchored not stored refs pending

Microlocal theory of sheaves and Tamarkin's non displaceability theorem

Pierre Schapira, Stephane Guillermou

arxiv:1106.1576 v2 · 2011-06-08 · math.SG · 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{GYEBJAZNN6RBBMKXBTOARAE2SR}

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	2026-05-18T04:02:15.075023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360814832d6fa210b1570cdc08809a945372a2cb148eea444c696b7075f37810

Aliases

arxiv: 1106.1576 · arxiv_version: 1106.1576v2 · doi: 10.48550/arxiv.1106.1576 · pith_short_12: GYEBJAZNN6RB · pith_short_16: GYEBJAZNN6RBBMKX · pith_short_8: GYEBJAZN

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/GYEBJAZNN6RBBMKXBTOARAE2SR \
  | 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: 360814832d6fa210b1570cdc08809a945372a2cb148eea444c696b7075f37810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd30581dcb0a6180b9e57b08ce6e4cce111c06cea648ab82394ace31fb4afbe",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-08T14:54:42Z",
    "title_canon_sha256": "9cd168a2398d53f548730f75e548080c54db5c7d96235cf9cbadc936e0d656c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1576",
    "kind": "arxiv",
    "version": 2
  }
}