Pith Number

pith:3NFTUDVD

pith:2025:3NFTUDVDHUBNM3LFV2SPAXH4BW

not attested not anchored not stored refs pending

Co-periods and central symmetric cube L-values

Dongming She, Li Cai, Yangyu Fan

arxiv:2507.15279 v2 · 2025-07-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NFTUDVDHUBNM3LFV2SPAXH4BW}

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	2026-07-05T11:40:57.912209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4b3a0ea33d02d66d65aea4f05cfc0d92c8483d6f310625ce037fe5221fafda

Aliases

arxiv: 2507.15279 · arxiv_version: 2507.15279v2 · doi: 10.48550/arxiv.2507.15279 · pith_short_12: 3NFTUDVDHUBN · pith_short_16: 3NFTUDVDHUBNM3LF · pith_short_8: 3NFTUDVD

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/3NFTUDVDHUBNM3LFV2SPAXH4BW \
  | 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: db4b3a0ea33d02d66d65aea4f05cfc0d92c8483d6f310625ce037fe5221fafda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5587d353268542434c3e8336bab6357e22f0e75b88a8621472607b23663b1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-21T06:30:02Z",
    "title_canon_sha256": "40d2995c53a63cfe60e8171929d4d5a69ab0a5ff8e4920a4c58d6b0ba877932f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15279",
    "kind": "arxiv",
    "version": 2
  }
}