Pith Number

pith:M7ZZDIPA

pith:2007:M7ZZDIPAD2PNH5RHA35PZVNBRE

not attested not anchored not stored refs pending

Weak uncertainty principle for fractals, graphs and metric measure spaces

Alexander Teplyaev, Kasso Okoudjou, Laurent Saloff-Coste

arxiv:math/0701207 v1 · 2007-01-07 · 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{M7ZZDIPAD2PNH5RHA35PZVNBRE}

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	2026-05-18T00:12:06.998987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f391a1e01e9ed3f62706fafcd5a1891c5dcc336da8e839c16b1cc9e988ca61

Aliases

arxiv: math/0701207 · arxiv_version: math/0701207v1 · doi: 10.48550/arxiv.math/0701207 · pith_short_12: M7ZZDIPAD2PN · pith_short_16: M7ZZDIPAD2PNH5RH · pith_short_8: M7ZZDIPA

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/M7ZZDIPAD2PNH5RHA35PZVNBRE \
  | 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: 67f391a1e01e9ed3f62706fafcd5a1891c5dcc336da8e839c16b1cc9e988ca61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dd7ac808dc86c11abeaf5100befbb62e205fbb364799157b5f1a0fc319740d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-01-07T14:55:31Z",
    "title_canon_sha256": "cb254c84bd34e47a0fc36e425889637c153be425a5e9e317111f81bc0bc48c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701207",
    "kind": "arxiv",
    "version": 1
  }
}