Pith Number

pith:MPT5RYEN

pith:2014:MPT5RYENLK63LGMF73AGLZ32V6

not attested not anchored not stored refs pending

Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps

M\'arton Elekes, Rich\'ard Balka, Udayan B. Darji

arxiv:1408.2176 v2 · 2014-08-10 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPT5RYENLK63LGMF73AGLZ32V6}

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	2026-05-18T01:10:15.346534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e7d8e08d5abdb59985fec065e77aaf88c8578cab6b86dcf4b30252ff50e48d

Aliases

arxiv: 1408.2176 · arxiv_version: 1408.2176v2 · doi: 10.48550/arxiv.1408.2176 · pith_short_12: MPT5RYENLK63 · pith_short_16: MPT5RYENLK63LGMF · pith_short_8: MPT5RYEN

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/MPT5RYENLK63LGMF73AGLZ32V6 \
  | 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: 63e7d8e08d5abdb59985fec065e77aaf88c8578cab6b86dcf4b30252ff50e48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d2d69f16437872fecb1e926761b5f648d2adfd11f5d61f016fd22805806e17",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-10T02:50:50Z",
    "title_canon_sha256": "a8e5ccf7c6b0a09b90df83918285857678243b9557634ad73bd08f662e116c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2176",
    "kind": "arxiv",
    "version": 2
  }
}