Pith Number

pith:OVY7AB2N

pith:2024:OVY7AB2NFYCT56HC2E4VBXPKQR

not attested not anchored not stored refs pending

Loop torsors. Theory and applications

AGL, Arturo Pianzola (CAECE), IMAR), Philippe Gille (ICJ, Vladimir Chernousov

arxiv:2412.07294 v1 · 2024-12-10 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVY7AB2NFYCT56HC2E4VBXPKQR}

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

Root stack valuative criterion for good moduli spaces

Receipt and verification

First computed	2026-07-05T09:47:07.696955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7571f0074d2e053ef8e2d13950ddea8465770b2a3b2e0e08bbedeb1ffba4e134

Aliases

arxiv: 2412.07294 · arxiv_version: 2412.07294v1 · doi: 10.48550/arxiv.2412.07294 · pith_short_12: OVY7AB2NFYCT · pith_short_16: OVY7AB2NFYCT56HC · pith_short_8: OVY7AB2N

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/OVY7AB2NFYCT56HC2E4VBXPKQR \
  | 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: 7571f0074d2e053ef8e2d13950ddea8465770b2a3b2e0e08bbedeb1ffba4e134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f21b66423fd56289dc8597602853c73fdd0b141090978b48d353d88f42efea9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-10T08:24:09Z",
    "title_canon_sha256": "5ed313848e4f8d616409e50f3daa6ba7145b7c2f064beca3bbc9e06e83d871dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07294",
    "kind": "arxiv",
    "version": 1
  }
}