Pith Number

pith:HT64DK7N

pith:2026:HT64DK7N3IL5LKSR57Q56NCURB

not attested not anchored not stored refs pending

Weak rank rigidity for groups with a navigable path system

Cornelia Drutu, Davide Spriano, Stefanie Zbinden

arxiv:2605.29837 v1 · 2026-05-28 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT64DK7N3IL5LKSR57Q56NCURB}

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	2026-05-29T02:05:55.384230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfdc1abedda17d5aa51efe1df34548856987fc1a3e9e41926e980e8ccd7116e

Aliases

arxiv: 2605.29837 · arxiv_version: 2605.29837v1 · doi: 10.48550/arxiv.2605.29837 · pith_short_12: HT64DK7N3IL5 · pith_short_16: HT64DK7N3IL5LKSR · pith_short_8: HT64DK7N

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/HT64DK7N3IL5LKSR57Q56NCURB \
  | 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: 3cfdc1abedda17d5aa51efe1df34548856987fc1a3e9e41926e980e8ccd7116e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4110d5524c46480c69a0f51e46defd4503f78679116fefc16d9ec8362bb447",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-28T12:18:51Z",
    "title_canon_sha256": "3a13976241beb2287666c9ea88de44bfa810607e8ff4ea4547adec5cb9f7245a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29837",
    "kind": "arxiv",
    "version": 1
  }
}