Pith Number

pith:XI4DIN5R

pith:2026:XI4DIN5RNME63SFUFOLKZPR7F4

not attested not anchored not stored refs pending

Polynomial homological Dehn functions from non-proper actions

Jannis Weis, Roman Sauer

arxiv:2606.25897 v1 · 2026-06-24 · math.GR · 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{XI4DIN5RNME63SFUFOLKZPR7F4}

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	2026-06-25T01:18:42.635035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba383437b16b09edc8b42b96acbe3f2f23b0dce21af1728a4e8cfe33a8099695

Aliases

arxiv: 2606.25897 · arxiv_version: 2606.25897v1 · doi: 10.48550/arxiv.2606.25897 · pith_short_12: XI4DIN5RNME6 · pith_short_16: XI4DIN5RNME63SFU · pith_short_8: XI4DIN5R

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/XI4DIN5RNME63SFUFOLKZPR7F4 \
  | 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: ba383437b16b09edc8b42b96acbe3f2f23b0dce21af1728a4e8cfe33a8099695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb52ae97a373e7f05d228742608beb398d88f0001611e63e427c2b3832a6bb39",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-24T14:46:38Z",
    "title_canon_sha256": "5f4fc4a5057f1794ef33d374a34fcffb21eb05fb912189e625c12344240c28c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25897",
    "kind": "arxiv",
    "version": 1
  }
}