Pith Number

pith:ATUGS6IC

pith:2025:ATUGS6ICRLPM7TYNWCE4DLYLAB

not attested not anchored not stored refs pending

Homotopical Observables and the Langlands Program via $\infty$-Topoi

Anatoly Galikhanov

arxiv:2505.22558 v1 · 2025-05-28 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATUGS6ICRLPM7TYNWCE4DLYLAB}

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.

Receipt and verification

First computed	2026-07-05T11:23:28.802993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e86979028adecfcf0db089c1af0b004689959000b6cd82ac9ef0546f728f06

Aliases

arxiv: 2505.22558 · arxiv_version: 2505.22558v1 · doi: 10.48550/arxiv.2505.22558 · pith_short_12: ATUGS6ICRLPM · pith_short_16: ATUGS6ICRLPM7TYN · pith_short_8: ATUGS6IC

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/ATUGS6ICRLPM7TYNWCE4DLYLAB \
  | 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: 04e86979028adecfcf0db089c1af0b004689959000b6cd82ac9ef0546f728f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b6de4898595b54f9b6557547bcf762fd1fdfbfef00a7ca46e7284e5eb60540b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-28T16:38:22Z",
    "title_canon_sha256": "da96dcaaca2c1ea702bfc9f886d6070befe088b7aba0560be51d32d25b285a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22558",
    "kind": "arxiv",
    "version": 1
  }
}