Pith Number

pith:JWT3ATPE

pith:2025:JWT3ATPE3P442DGWCYPHLDP2FV

not attested not anchored not stored refs pending

$p$-Modulus on radially symmetric trees

Prem Raj Prasain

arxiv:2506.07377 v1 · 2025-06-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWT3ATPE3P442DGWCYPHLDP2FV}

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	2026-07-05T11:18:26.127415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da7b04de4dbf9cd0cd6161e758dfa2d4d0bb48be4171b46b0effc54495169da

Aliases

arxiv: 2506.07377 · arxiv_version: 2506.07377v1 · doi: 10.48550/arxiv.2506.07377 · pith_short_12: JWT3ATPE3P44 · pith_short_16: JWT3ATPE3P442DGW · pith_short_8: JWT3ATPE

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/JWT3ATPE3P442DGWCYPHLDP2FV \
  | 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: 4da7b04de4dbf9cd0cd6161e758dfa2d4d0bb48be4171b46b0effc54495169da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011911fab16ccbdaaa75a0687e9ef4a621558c4e5d19f197ece9383a775a775c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-09T02:51:36Z",
    "title_canon_sha256": "cd04ac70eb4b59abb7dbddf1ef4f352992ce94c22a36833063672b41b4191203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07377",
    "kind": "arxiv",
    "version": 1
  }
}