Pith Number

pith:HGNH2ZIU

pith:2025:HGNH2ZIU7XIDTWY2MMKWYKFYAT

not attested not anchored not stored refs pending

p-adic congruences in iterated derivatives of the Weierstrass elliptic function

Eric Peterson, Kiran Luecke

arxiv:2506.07420 v1 · 2025-06-09 · math.NT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGNH2ZIU7XIDTWY2MMKWYKFYAT}

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	2026-07-05T11:18:26.985792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399a7d6514fdd039db1a63156c28b804d000b0bc8036c7ada19142dc354a3877

Aliases

arxiv: 2506.07420 · arxiv_version: 2506.07420v1 · doi: 10.48550/arxiv.2506.07420 · pith_short_12: HGNH2ZIU7XID · pith_short_16: HGNH2ZIU7XIDTWY2 · pith_short_8: HGNH2ZIU

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/HGNH2ZIU7XIDTWY2MMKWYKFYAT \
  | 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: 399a7d6514fdd039db1a63156c28b804d000b0bc8036c7ada19142dc354a3877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993b5e4d471dca4f8b7286e92d7bccf52488a9f772f7926597060a83537bfb93",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-09T04:36:55Z",
    "title_canon_sha256": "a96f2d1ed83fecd0ef48e074fb65b0f63f347b86e377ec83e692f9e39ac0e34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07420",
    "kind": "arxiv",
    "version": 1
  }
}