Pith Number

pith:FFE4IHMT

pith:2024:FFE4IHMT6WPCBKN555FNZWWZSL

not attested not anchored not stored refs pending

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces

Martina Rovelli

arxiv:2412.17400 v1 · 2024-12-23 · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFE4IHMT6WPCBKN555FNZWWZSL}

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	2026-07-05T09:53:21.991700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2949c41d93f59e20a9bdef4adcdad992c0e74df4c43f174a33d532e622eaf689

Aliases

arxiv: 2412.17400 · arxiv_version: 2412.17400v1 · doi: 10.48550/arxiv.2412.17400 · pith_short_12: FFE4IHMT6WPC · pith_short_16: FFE4IHMT6WPCBKN5 · pith_short_8: FFE4IHMT

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/FFE4IHMT6WPCBKN555FNZWWZSL \
  | 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: 2949c41d93f59e20a9bdef4adcdad992c0e74df4c43f174a33d532e622eaf689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67aa8f1bb3671ff705bd969a9cc42cc6ead5a2d3a68e50db698b1983ca351d50",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-23T09:05:25Z",
    "title_canon_sha256": "956b37b070bcff03a244316ec0da65a58df54db3fce90869ff2b47ca7230a512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17400",
    "kind": "arxiv",
    "version": 1
  }
}