Pith Number

pith:UDKGMDNQ

pith:2016:UDKGMDNQV2JR77436CQMXSW4OC

not attested not anchored not stored refs pending

Porosity, Differentiability and Pansu's Theorem

Andrea Pinamonti, Gareth Speight

arxiv:1603.04818 v2 · 2016-03-15 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDKGMDNQV2JR77436CQMXSW4OC}

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	2026-05-18T00:55:58.190631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d4660db0ae931fff9bf0a0cbcadc708ddf77fb03518e33d4a6be53f17c1862

Aliases

arxiv: 1603.04818 · arxiv_version: 1603.04818v2 · doi: 10.48550/arxiv.1603.04818 · pith_short_12: UDKGMDNQV2JR · pith_short_16: UDKGMDNQV2JR7743 · pith_short_8: UDKGMDNQ

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/UDKGMDNQV2JR77436CQMXSW4OC \
  | 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: a0d4660db0ae931fff9bf0a0cbcadc708ddf77fb03518e33d4a6be53f17c1862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd731ce568e86c69cd5bc84e250cd56598df6b550ead4cc34a80ecbe459a770a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-15T18:57:18Z",
    "title_canon_sha256": "c379958724c79ea78fa3ccf67c1adbd6192c7f5ece658786191defb16da8bf50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04818",
    "kind": "arxiv",
    "version": 2
  }
}