Pith Number

pith:H6AASWZ3

pith:2015:H6AASWZ3JWDRKYAPAQHCRW5KCL

not attested not anchored not stored refs pending

The characteristic cycle and the singular support of a constructible sheaf

Takeshi Saito

arxiv:1510.03018 v4 · 2015-10-11 · 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{H6AASWZ3JWDRKYAPAQHCRW5KCL}

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	2026-05-18T00:26:21.513523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f80095b3b4d8715600f040e28dbaa12cb66dafc8812c4ecf5d3d6c5b23ea827

Aliases

arxiv: 1510.03018 · arxiv_version: 1510.03018v4 · doi: 10.48550/arxiv.1510.03018 · pith_short_12: H6AASWZ3JWDR · pith_short_16: H6AASWZ3JWDRKYAP · pith_short_8: H6AASWZ3

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/H6AASWZ3JWDRKYAPAQHCRW5KCL \
  | 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: 3f80095b3b4d8715600f040e28dbaa12cb66dafc8812c4ecf5d3d6c5b23ea827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9def8fc60702285c02a563c5536cae83558bfd4049480f6e5de4a66b0ce3bf44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-11T07:24:31Z",
    "title_canon_sha256": "bbb90a7338ea3bc358e205ebaaeca6300fd798aa6a6e197773e0ac2ff065ce09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03018",
    "kind": "arxiv",
    "version": 4
  }
}