Pith Number

pith:XQ4DL64R

pith:2012:XQ4DL64RYI6DJ7LI4F2VJNFAEG

not attested not anchored not stored refs pending

Modulus and Poincar\'e inequalities on non-self-similar Sierpinski carpets

Jeremy T. Tyson, John M. Mackay, Kevin Wildrick

arxiv:1201.3548 v2 · 2012-01-17 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ4DL64RYI6DJ7LI4F2VJNFAEG}

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	2026-05-18T03:07:41.436599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3835fb91c23c34fd68e17554b4a021a409024370d9063629fe874a77039c68

Aliases

arxiv: 1201.3548 · arxiv_version: 1201.3548v2 · doi: 10.48550/arxiv.1201.3548 · pith_short_12: XQ4DL64RYI6D · pith_short_16: XQ4DL64RYI6DJ7LI · pith_short_8: XQ4DL64R

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/XQ4DL64RYI6DJ7LI4F2VJNFAEG \
  | 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: bc3835fb91c23c34fd68e17554b4a021a409024370d9063629fe874a77039c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cec3e19290e8ab3d66af2cf24e6fcf3351ed5834fa94bccfeeaf4121f11f40",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-17T16:25:23Z",
    "title_canon_sha256": "19af4221ed87a95d8e8dc163cd06e8cdef45cdfd69114154a6f74223e1933b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3548",
    "kind": "arxiv",
    "version": 2
  }
}