Pith Number

pith:VXKQBEJB

pith:2026:VXKQBEJBS4IBW7AZQEQ53QELWL

not attested not anchored not stored refs pending

Projections of self-affine sets onto lines

Antti K\"aenm\"aki, Bal\'azs B\'ar\'any, Istv\'an Kolossv\'ary

arxiv:2607.14740 v1 · 2026-07-16 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXKQBEJBS4IBW7AZQEQ53QELWL}

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	2026-07-17T01:21:28.662042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add500912197101b7c198121ddc08bb2d12dbaf5ae93eac135d7621599b84c99

Aliases

arxiv: 2607.14740 · arxiv_version: 2607.14740v1 · doi: 10.48550/arxiv.2607.14740 · pith_short_12: VXKQBEJBS4IB · pith_short_16: VXKQBEJBS4IBW7AZ · pith_short_8: VXKQBEJB

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/VXKQBEJBS4IBW7AZQEQ53QELWL \
  | 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: add500912197101b7c198121ddc08bb2d12dbaf5ae93eac135d7621599b84c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241bbdb1417d73e21d9d517386994eeaaa3dcccdfffc6e62cd3c817b1754f31c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-16T09:05:40Z",
    "title_canon_sha256": "9ea58e0a6aad3519dbd65b765c5d1ecb675bffea38cf24c07752be3cc8373424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14740",
    "kind": "arxiv",
    "version": 1
  }
}