Pith Number

pith:BURUB4VZ

pith:2018:BURUB4VZMNYAHYJGIT23U7QVTE

not attested not anchored not stored refs pending

A stacky approach to crystals

Vladimir Drinfeld

arxiv:1810.11853 v3 · 2018-10-28 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BURUB4VZMNYAHYJGIT23U7QVTE}

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

Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic

Receipt and verification

First computed	2026-07-05T09:52:54.454921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d2340f2b9637003e12644f5ba7e15993e5b66fe544e42a711e060a041727760

Aliases

arxiv: 1810.11853 · arxiv_version: 1810.11853v3 · doi: 10.48550/arxiv.1810.11853 · pith_short_12: BURUB4VZMNYA · pith_short_16: BURUB4VZMNYAHYJG · pith_short_8: BURUB4VZ

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/BURUB4VZMNYAHYJGIT23U7QVTE \
  | 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: 0d2340f2b9637003e12644f5ba7e15993e5b66fe544e42a711e060a041727760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a91faed42fdcdfe71e8b5c2ebd2686da6de8086c3686802dacf403fb85b2f81",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-28T18:23:50Z",
    "title_canon_sha256": "14a8e62919d4ecd713d527f759df97658b3510f860a6c6d98de5553ca29d334e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11853",
    "kind": "arxiv",
    "version": 3
  }
}