Pith Number

pith:GXV67MG5

pith:2012:GXV67MG5DIPRN3PL6BOH4J62AC

not attested not anchored not stored refs pending

Cohomological amplitude for constructible sheaves on moduli spaces of curves

Eduard Looijenga

arxiv:1203.4548 v4 · 2012-03-20 · 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{GXV67MG5DIPRN3PL6BOH4J62AC}

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	2026-05-18T03:14:39.398025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ebefb0dd1a1f16edebf05c7e27da009983197eab9142fb039945a59f98de71

Aliases

arxiv: 1203.4548 · arxiv_version: 1203.4548v4 · doi: 10.48550/arxiv.1203.4548 · pith_short_12: GXV67MG5DIPR · pith_short_16: GXV67MG5DIPRN3PL · pith_short_8: GXV67MG5

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/GXV67MG5DIPRN3PL6BOH4J62AC \
  | 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: 35ebefb0dd1a1f16edebf05c7e27da009983197eab9142fb039945a59f98de71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9154f841b1e26fd047ff0ca604c6ab2b2d6f4071beb83f132332e5fa6d30b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-20T19:29:47Z",
    "title_canon_sha256": "1c2510b5a0f0131913de61a6011aab5a0e344bf6d29883a0ac801b541f743512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4548",
    "kind": "arxiv",
    "version": 4
  }
}