Pith Number

pith:ZV3LVPQF

pith:2010:ZV3LVPQFLXES2W2A3R4ZYWM26D

not attested not anchored not stored refs pending

Higher congruence companion forms

Jayanta Manoharmayum, Rajender Adibhatla

arxiv:1007.0181 v4 · 2010-07-01 · 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{ZV3LVPQFLXES2W2A3R4ZYWM26D}

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	2026-05-18T03:28:19.904100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd76babe055dc92d5b40dc799c599af0dfa567bca7198a0315b2e3b5246d5273

Aliases

arxiv: 1007.0181 · arxiv_version: 1007.0181v4 · doi: 10.48550/arxiv.1007.0181 · pith_short_12: ZV3LVPQFLXES · pith_short_16: ZV3LVPQFLXES2W2A · pith_short_8: ZV3LVPQF

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/ZV3LVPQFLXES2W2A3R4ZYWM26D \
  | 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: cd76babe055dc92d5b40dc799c599af0dfa567bca7198a0315b2e3b5246d5273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1f0ed85ca2f7e30903b02d61de9c0ee2d9e92f495d17e4c6b69216c42a503b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-01T14:34:27Z",
    "title_canon_sha256": "79858d6e4c04ef74aad0d2769eb4d6f39f5862ed0e6ad40131a7ee7d3cb0527c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0181",
    "kind": "arxiv",
    "version": 4
  }
}