Pith Number

pith:HJAJNPMI

pith:2016:HJAJNPMI4HYASACFJAGY3ULG3A

not attested not anchored not stored refs pending

Non-spectral problem for the planar self-affine measures

Jian-lin Li, Jing-Cheng Liu, Xin-han Dong

arxiv:1611.01250 v2 · 2016-11-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJAJNPMI4HYASACFJAGY3ULG3A}

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	2026-05-18T00:51:33.823190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4096bd88e1f0090045480d8dd166d82235b28c97f23f8d21eddba566a71c25

Aliases

arxiv: 1611.01250 · arxiv_version: 1611.01250v2 · doi: 10.48550/arxiv.1611.01250 · pith_short_12: HJAJNPMI4HYA · pith_short_16: HJAJNPMI4HYASACF · pith_short_8: HJAJNPMI

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/HJAJNPMI4HYASACFJAGY3ULG3A \
  | 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: 3a4096bd88e1f0090045480d8dd166d82235b28c97f23f8d21eddba566a71c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f12a9230e5a9a7e1469e317490000b28f73a9e76883603da33d7a0d6de379db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-04T02:44:01Z",
    "title_canon_sha256": "fbe66eb90efcbc764255a8eaf5cca6bc229b62bb21a39af455c1f39f883c729a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01250",
    "kind": "arxiv",
    "version": 2
  }
}