Pith Number

pith:IYUY3YNT

pith:2011:IYUY3YNTYCVRJK4KSZRJKXEAST

not attested not anchored not stored refs pending

Local Poincar\'e inequalities from stable curvature conditions on metric spaces

Tapio Rajala

arxiv:1107.4842 v1 · 2011-07-25 · math.DG · math.AP · math.FA · 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{IYUY3YNTYCVRJK4KSZRJKXEAST}

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	2026-05-18T04:16:54.513455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46298de1b3c0ab14ab8a9662955c8094d70b19120d221a84311eff8197b6c5de

Aliases

arxiv: 1107.4842 · arxiv_version: 1107.4842v1 · doi: 10.48550/arxiv.1107.4842 · pith_short_12: IYUY3YNTYCVR · pith_short_16: IYUY3YNTYCVRJK4K · pith_short_8: IYUY3YNT

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/IYUY3YNTYCVRJK4KSZRJKXEAST \
  | 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: 46298de1b3c0ab14ab8a9662955c8094d70b19120d221a84311eff8197b6c5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c6f79522608e9cb10f2dd2abaa37bb839ecb6fb524071e0d68e3877bd10b9b",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-25T05:34:14Z",
    "title_canon_sha256": "68b051a33afb7e37f4ef6196bebf0f7e87db32b35c2140f47934a74321daf5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4842",
    "kind": "arxiv",
    "version": 1
  }
}