Pith Number

pith:CT6KMUS7

pith:2025:CT6KMUS75RTOD5W4HU2NLALVEG

not attested not anchored not stored refs pending

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two

David Urech, Stephan Stadler, Urs Lang

arxiv:2506.04882 v3 · 2025-06-05 · math.MG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT6KMUS75RTOD5W4HU2NLALVEG}

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	2026-07-03T01:17:11.671820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fca6525fec66e1f6dc3d34d5817521aebc184f3ebd65d3fabb64e054d58657

Aliases

arxiv: 2506.04882 · arxiv_version: 2506.04882v3 · doi: 10.48550/arxiv.2506.04882 · pith_short_12: CT6KMUS75RTO · pith_short_16: CT6KMUS75RTOD5W4 · pith_short_8: CT6KMUS7

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/CT6KMUS75RTOD5W4HU2NLALVEG \
  | 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: 14fca6525fec66e1f6dc3d34d5817521aebc184f3ebd65d3fabb64e054d58657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2db4d64c4b09a2d8310d399004ed0e9a989388ebd747c0c6a2b2ebff2cdc7a",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-06-05T11:00:57Z",
    "title_canon_sha256": "12bf7eb31a7a027128e8bf0a959c7c668fe5f8470ed628e56ef775898f1b154b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04882",
    "kind": "arxiv",
    "version": 3
  }
}