Pith Number

pith:RIRFVV4V

pith:2025:RIRFVV4VIJUT2W6NCM5U655HAQ

not attested not anchored not stored refs pending

Higher Segal spaces and partial groups

Justin Lynd, Philip Hackney

arxiv:2507.05437 v2 · 2025-07-07 · math.GR · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIRFVV4VIJUT2W6NCM5U655HAQ}

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 partial groups of small order

Receipt and verification

First computed	2026-07-05T12:04:37.377486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a225ad79542693d5bcd133b4f77a70434aa4365eba45df9c2b7e1e3baa96fec

Aliases

arxiv: 2507.05437 · arxiv_version: 2507.05437v2 · doi: 10.48550/arxiv.2507.05437 · pith_short_12: RIRFVV4VIJUT · pith_short_16: RIRFVV4VIJUT2W6N · pith_short_8: RIRFVV4V

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/RIRFVV4VIJUT2W6NCM5U655HAQ \
  | 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: 8a225ad79542693d5bcd133b4f77a70434aa4365eba45df9c2b7e1e3baa96fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674003ebfcb2cdbce4785e168e02298a0d3c06d2ac89b3de8204a923e0896a78",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-07T19:38:51Z",
    "title_canon_sha256": "17bed8f52fa31e763233b34f11042dd16cb2c9781b0eaad1992f02d8a0665fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05437",
    "kind": "arxiv",
    "version": 2
  }
}