Pith Number

pith:7ESFUK7N

pith:2003:7ESFUK7NHM7RFWHJQ2CJ5LAXE4

not attested not anchored not stored refs pending

The structure of the cohomology ring of the filt schemes

Takuro Mochizuki

arxiv:math/0301184 v1 · 2003-01-17 · 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{7ESFUK7NHM7RFWHJQ2CJ5LAXE4}

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.

Cited by

1 paper in Pith

Motivic quasimap wall-crossing for Grassmannians

Receipt and verification

First computed	2026-07-04T14:36:54.060455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9245a2bed3b3f12d8e986849eac17272e54d629134f349eb13b6ec75666964c

Aliases

arxiv: math/0301184 · arxiv_version: math/0301184v1 · doi: 10.48550/arxiv.math/0301184 · pith_short_12: 7ESFUK7NHM7R · pith_short_16: 7ESFUK7NHM7RFWHJ · pith_short_8: 7ESFUK7N

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/7ESFUK7NHM7RFWHJQ2CJ5LAXE4 \
  | 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: f9245a2bed3b3f12d8e986849eac17272e54d629134f349eb13b6ec75666964c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289fb7cf58309f01047d5ca968d91e5ebb6cb8f40cef8cacdf4aa14e5fb560d5",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-01-17T14:18:53Z",
    "title_canon_sha256": "d049875aef529444f7d9d8aa27ae62cf2963678665f1fba33b1f654823722a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301184",
    "kind": "arxiv",
    "version": 1
  }
}