Pith Number

pith:SHCK24OB

pith:2025:SHCK24OBHOEHQFOWLH6XHICH2O

not attested not anchored not stored refs pending

The growth of eigenfunction extrema on p.c.f. fractals

Haoran Tian, Hua Qiu

arxiv:2511.04027 v2 · 2025-11-06 · 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{SHCK24OBHOEHQFOWLH6XHICH2O}

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	2026-05-20T01:05:01.040473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c4ad71c13b887815d659fd73a047d3bfa7a2136f391391abc8c2ccedfbe20e

Aliases

arxiv: 2511.04027 · arxiv_version: 2511.04027v2 · doi: 10.48550/arxiv.2511.04027 · pith_short_12: SHCK24OBHOEH · pith_short_16: SHCK24OBHOEHQFOW · pith_short_8: SHCK24OB

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/SHCK24OBHOEHQFOWLH6XHICH2O \
  | 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: 91c4ad71c13b887815d659fd73a047d3bfa7a2136f391391abc8c2ccedfbe20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a3b755e0c95fa05e5fe0088a48e9e269850f0a85a0f5881a19f4f98560791f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-11-06T03:54:58Z",
    "title_canon_sha256": "f400577630632dfcf180a5457b8a9c160634bb78e269ede56b8d501d881ff549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.04027",
    "kind": "arxiv",
    "version": 2
  }
}