Pith Number

pith:OI6Z2NJR

pith:2025:OI6Z2NJRGPHXPSFBND4FTZKAX2

not attested not anchored not stored refs pending

Elliptic loop spaces

Adeel A. Khan, Emile Bouaziz

arxiv:2502.13882 v1 · 2025-02-19 · math.AG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI6Z2NJRGPHXPSFBND4FTZKAX2}

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

Fourier--Mukai equivalences for formal groups and elliptic Hochschild homology

Receipt and verification

First computed	2026-07-05T10:17:01.960626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723d9d353133cf77c8a168f859e540bea7e287db95eb23cacbe11b07ed9b8628

Aliases

arxiv: 2502.13882 · arxiv_version: 2502.13882v1 · doi: 10.48550/arxiv.2502.13882 · pith_short_12: OI6Z2NJRGPHX · pith_short_16: OI6Z2NJRGPHXPSFB · pith_short_8: OI6Z2NJR

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/OI6Z2NJRGPHXPSFBND4FTZKAX2 \
  | 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: 723d9d353133cf77c8a168f859e540bea7e287db95eb23cacbe11b07ed9b8628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346d5a695d2e0c8af8481ba450844a1abcd9c56907c09914816b0de292476b17",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-19T17:06:47Z",
    "title_canon_sha256": "033ee84372b064c381528fced678722cefb7bee0489a33f6c44d73b71f48d03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13882",
    "kind": "arxiv",
    "version": 1
  }
}