Pith Number

pith:V6PYWS5R

pith:2011:V6PYWS5RLIV47LKMINZHXUBQDP

not attested not anchored not stored refs pending

The Geometry of p-Adic Fractal Strings: A Comparative Survey

Hung Lu, Michel L. Lapidus

arxiv:1105.2966 v1 · 2011-05-15 · math.MG · math.CV · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6PYWS5RLIV47LKMINZHXUBQDP}

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	2026-05-18T04:22:01.670355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9f8b4bb15a2bcfad4c43727bd0301bc9415b9f1fbc02348644b4b8daf3addf

Aliases

arxiv: 1105.2966 · arxiv_version: 1105.2966v1 · doi: 10.48550/arxiv.1105.2966 · pith_short_12: V6PYWS5RLIV4 · pith_short_16: V6PYWS5RLIV47LKM · pith_short_8: V6PYWS5R

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/V6PYWS5RLIV47LKMINZHXUBQDP \
  | 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: af9f8b4bb15a2bcfad4c43727bd0301bc9415b9f1fbc02348644b4b8daf3addf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97375f1aa8f7a4f95239e6973c3b760dbb5feac2c5905a92fa10df6ee14be979",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-15T20:26:04Z",
    "title_canon_sha256": "c38cd87e0057e2fdb9e2d29333b1bcbfbf02b50ff6358829f2a4ddf6d9d47bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2966",
    "kind": "arxiv",
    "version": 1
  }
}