Pith Number

pith:QT34KO3M

pith:2015:QT34KO3MR4ZPN3NEEDXY3RGTN4

not attested not anchored not stored refs pending

Quotients of MGL, their slices and their geometric parts

Girja Shanker Tripathi, Marc Levine

arxiv:1501.02436 v1 · 2015-01-11 · 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{QT34KO3MR4ZPN3NEEDXY3RGTN4}

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	2026-05-18T02:29:37.964036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f7c53b6c8f32f6eda420ef8dc4d36f3cdd9b00a116897854fa7a5749aff8da

Aliases

arxiv: 1501.02436 · arxiv_version: 1501.02436v1 · doi: 10.48550/arxiv.1501.02436 · pith_short_12: QT34KO3MR4ZP · pith_short_16: QT34KO3MR4ZPN3NE · pith_short_8: QT34KO3M

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/QT34KO3MR4ZPN3NEEDXY3RGTN4 \
  | 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: 84f7c53b6c8f32f6eda420ef8dc4d36f3cdd9b00a116897854fa7a5749aff8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b36b359759c90c504641ca3c1b17806a9891cb4dd1ad932711c46e419f8737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-11T10:25:03Z",
    "title_canon_sha256": "2663b4fe4c5138c6e9848a78e05b8fb63f71a383d20d2a91375b960ebe36c501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02436",
    "kind": "arxiv",
    "version": 1
  }
}