Pith Number

pith:7IY3I7I4

pith:2025:7IY3I7I4Q2TIYSG4G5UUN57TYE

not attested not anchored not stored refs pending

Ring stacks conjecturally related to the stacks $BT_n^{G,\mu}$

Vladimir Drinfeld

arxiv:2510.04958 v3 · 2025-10-06 · 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{7IY3I7I4Q2TIYSG4G5UUN57TYE}

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

Sheared Witt Vectors

Receipt and verification

First computed	2026-07-07T02:17:11.219118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa31b47d1c86a68c48dc376946f7f3c10b5035157435f11144042de676b5ca4d

Aliases

arxiv: 2510.04958 · arxiv_version: 2510.04958v3 · doi: 10.48550/arxiv.2510.04958 · pith_short_12: 7IY3I7I4Q2TI · pith_short_16: 7IY3I7I4Q2TIYSG4 · pith_short_8: 7IY3I7I4

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/7IY3I7I4Q2TIYSG4G5UUN57TYE \
  | 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: fa31b47d1c86a68c48dc376946f7f3c10b5035157435f11144042de676b5ca4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabcccdabee6369cbcf0b1041de3e30874ce06b8eff16b568f0650425927f723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-10-06T15:57:00Z",
    "title_canon_sha256": "9ce8396a6fa9476c85347c2fcb83ccc5cb0381026784ffdc7759412d342fabe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.04958",
    "kind": "arxiv",
    "version": 3
  }
}