Pith Number

pith:6RW3ZVPL

pith:2024:6RW3ZVPLGYCTYMA6Q5LLXQBDTY

not attested not anchored not stored refs pending

Homotopy coherent companionships and conjunctions

Jaco Ruit

arxiv:2408.14335 v2 · 2024-08-26 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RW3ZVPLGYCTYMA6Q5LLXQBDTY}

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

On the squares functor and the Gaitsgory-Rozenblyum conjectures

Receipt and verification

First computed	2026-07-05T10:45:54.648257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46dbcd5eb36053c301e8756bbc0239e24bc5bf08835253f04caca99ee67e595

Aliases

arxiv: 2408.14335 · arxiv_version: 2408.14335v2 · doi: 10.48550/arxiv.2408.14335 · pith_short_12: 6RW3ZVPLGYCT · pith_short_16: 6RW3ZVPLGYCTYMA6 · pith_short_8: 6RW3ZVPL

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/6RW3ZVPLGYCTYMA6Q5LLXQBDTY \
  | 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: f46dbcd5eb36053c301e8756bbc0239e24bc5bf08835253f04caca99ee67e595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba0ea38c80778a8038960cf5fbc8367df11fd7383c61ea8973bbbbd55e19c93",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-08-26T15:03:22Z",
    "title_canon_sha256": "1a52a80e1c69741033b4ca5a69350691748dbd8101cd5aca704113c738877874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.14335",
    "kind": "arxiv",
    "version": 2
  }
}