Pith Number

pith:EBKZILOZ

pith:2016:EBKZILOZCHE6L3P2QTCSQEDNFY

not attested not anchored not stored refs pending

A lemma for microlocal sheaf theory in the $\infty$-categorical setting

Marco Robalo, Pierre Schapira

arxiv:1611.06789 v1 · 2016-11-21 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBKZILOZCHE6L3P2QTCSQEDNFY}

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	2026-05-18T00:57:32.867561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2055942dd911c9e5edfa84c528106d2e352918c5273554ed293cd7a6d9ad9666

Aliases

arxiv: 1611.06789 · arxiv_version: 1611.06789v1 · doi: 10.48550/arxiv.1611.06789 · pith_short_12: EBKZILOZCHE6 · pith_short_16: EBKZILOZCHE6L3P2 · pith_short_8: EBKZILOZ

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/EBKZILOZCHE6L3P2QTCSQEDNFY \
  | 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: 2055942dd911c9e5edfa84c528106d2e352918c5273554ed293cd7a6d9ad9666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15dd95fce1e56957ef928afdb9a7cafaa584879a10323ad8202eeee331616979",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-21T14:02:48Z",
    "title_canon_sha256": "a6f25dc9298289f5912aa899eb6944708676a931ee44836b29a676da8208a796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06789",
    "kind": "arxiv",
    "version": 1
  }
}