Pith Number

pith:MQZX4AQQ

pith:2016:MQZX4AQQSGZXGFMEH2SLMNGBJ6

not attested not anchored not stored refs pending

Self-affine sets in analytic curves and algebraic surfaces

Antti K\"aenm\"aki, De-Jun Feng

arxiv:1612.07136 v2 · 2016-12-21 · 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{MQZX4AQQSGZXGFMEH2SLMNGBJ6}

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	2026-05-18T00:15:37.899797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64337e021091b37315843ea4b634c14fbc9e4b8dc083bf3fc6b17cbc4721099f

Aliases

arxiv: 1612.07136 · arxiv_version: 1612.07136v2 · doi: 10.48550/arxiv.1612.07136 · pith_short_12: MQZX4AQQSGZX · pith_short_16: MQZX4AQQSGZXGFME · pith_short_8: MQZX4AQQ

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/MQZX4AQQSGZXGFMEH2SLMNGBJ6 \
  | 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: 64337e021091b37315843ea4b634c14fbc9e4b8dc083bf3fc6b17cbc4721099f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054670dead6b07b0eec9feb35e9ce274c535fb530bf28b218ed7b90944fe7b58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-21T14:29:54Z",
    "title_canon_sha256": "1f081ac92d1c987a386e0617786dc9d20b9a54cb8e4856e0f699d38043b56bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07136",
    "kind": "arxiv",
    "version": 2
  }
}