Pith Number

pith:MPIVQHC6

pith:2025:MPIVQHC6KJ5YXHZ2PTK3OSHJ5J

not attested not anchored not stored refs pending

Mazur's growth number conjecture and congruences

Anwesh Ray

arxiv:2505.19542 v1 · 2025-05-26 · 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{MPIVQHC6KJ5YXHZ2PTK3OSHJ5J}

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	2026-07-05T11:09:32.087034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d1581c5e527b8b9f3a7cd5b748e9ea55214c30b69b87a66efccf0d2ed0da7d

Aliases

arxiv: 2505.19542 · arxiv_version: 2505.19542v1 · doi: 10.48550/arxiv.2505.19542 · pith_short_12: MPIVQHC6KJ5Y · pith_short_16: MPIVQHC6KJ5YXHZ2 · pith_short_8: MPIVQHC6

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/MPIVQHC6KJ5YXHZ2PTK3OSHJ5J \
  | 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: 63d1581c5e527b8b9f3a7cd5b748e9ea55214c30b69b87a66efccf0d2ed0da7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3e24bbcf873e5cdb1dda70bec6f43486266f1aed6fe130bcf6b9f02d89b9a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-26T06:02:03Z",
    "title_canon_sha256": "cf5a2fc618968e2bf8ebbe8462b535e8827b9c73c793eadc8cf3bbd376dc3e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19542",
    "kind": "arxiv",
    "version": 1
  }
}