Pith Number

pith:MTZXRXH4

pith:2016:MTZXRXH4V2IP6VWRKPJP7AHGRW

not attested not anchored not stored refs pending

Notes on the characteristic cycle of a constructible sheaf

Takeshi Saito

arxiv:1603.07865 v3 · 2016-03-25 · 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{MTZXRXH4V2IP6VWRKPJP7AHGRW}

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	2026-05-18T01:11:08.110937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29

Aliases

arxiv: 1603.07865 · arxiv_version: 1603.07865v3 · doi: 10.48550/arxiv.1603.07865 · pith_short_12: MTZXRXH4V2IP · pith_short_16: MTZXRXH4V2IP6VWR · pith_short_8: MTZXRXH4

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/MTZXRXH4V2IP6VWRKPJP7AHGRW \
  | 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: 64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4c22808beeb4ab0111d42c1d4be24f1213fa17a916a4d534cb47894e697186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-25T10:09:22Z",
    "title_canon_sha256": "105c46dae7b02dd6bb78d52448a9fd0f59c0e72b7ebcdf399a1e7f64ac41f85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07865",
    "kind": "arxiv",
    "version": 3
  }
}