Pith Number

pith:5CTRN4WZ

pith:2012:5CTRN4WZDUUGBOJOW2N3JMU4MI

not attested not anchored not stored refs pending

Polygonal equalities and virtual degeneracy in $L_{p}$-spaces

Anthony Weston, Casey Lynn Kelleher, Daniel Miller, Trenton Osborn

arxiv:1203.5837 v6 · 2012-03-26 · 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{5CTRN4WZDUUGBOJOW2N3JMU4MI}

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	2026-05-17T23:56:15.858745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a716f2d91d2860b92eb69bb4b29c6210a4105bd5712cdbdff3dc81e6b0fae0

Aliases

arxiv: 1203.5837 · arxiv_version: 1203.5837v6 · doi: 10.48550/arxiv.1203.5837 · pith_short_12: 5CTRN4WZDUUG · pith_short_16: 5CTRN4WZDUUGBOJO · pith_short_8: 5CTRN4WZ

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/5CTRN4WZDUUGBOJOW2N3JMU4MI \
  | 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: e8a716f2d91d2860b92eb69bb4b29c6210a4105bd5712cdbdff3dc81e6b0fae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c8b33674e320436abe25ac82afbd44d6eda9846565e63497872fa7c414dfb4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-26T22:53:47Z",
    "title_canon_sha256": "40a8eef57bddd4ccf5029b46b747f3cd8fd8e9412c3139ea2f0aaac9d8e406cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5837",
    "kind": "arxiv",
    "version": 6
  }
}