Pith Number

pith:X6I35JO4

pith:2019:X6I35JO4S2UZWTM4FPKSKJEVKG

not attested not anchored not stored refs pending

Poincar\'e Inequalities and Uniform Rectifiability

Jonas Azzam

arxiv:1908.06420 v5 · 2019-08-18 · math.CA · math.DG · 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{X6I35JO4S2UZWTM4FPKSKJEVKG}

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	2026-07-05T01:34:04.644629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf91bea5dc96a99b4d9c2bd525249551bafac9a7d4b951fa6294e681a1bdcd78

Aliases

arxiv: 1908.06420 · arxiv_version: 1908.06420v5 · doi: 10.48550/arxiv.1908.06420 · pith_short_12: X6I35JO4S2UZ · pith_short_16: X6I35JO4S2UZWTM4 · pith_short_8: X6I35JO4

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/X6I35JO4S2UZWTM4FPKSKJEVKG \
  | 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: bf91bea5dc96a99b4d9c2bd525249551bafac9a7d4b951fa6294e681a1bdcd78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fec0711d9b4512637379523d5a7257e1adc10fd3a533a1b6e6677217f34cc1",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-18T10:40:05Z",
    "title_canon_sha256": "e1bd98e78040b4fc8b28622fd587ffc9b4a85da11da7e0b4ae00e8014d5fed58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06420",
    "kind": "arxiv",
    "version": 5
  }
}