pith. sign in
Pith Number

pith:ZVDERPB2

pith:2012:ZVDERPB2EQPLEMZEGDOWY6273V
not attested not anchored not stored refs pending

Killing wild ramification

Manish Kumar

arxiv:1206.3931 v1 · 2012-06-18 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZVDERPB2EQPLEMZEGDOWY6273V}

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 2026-05-18T03:53:18.378248Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cd4648bc3a241eb2332430dd6c7b5fdd5b5b3d07e53f33055dcd2a08576f3999

Aliases

arxiv: 1206.3931 · arxiv_version: 1206.3931v1 · doi: 10.48550/arxiv.1206.3931 · pith_short_12: ZVDERPB2EQPL · pith_short_16: ZVDERPB2EQPLEMZE · pith_short_8: ZVDERPB2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZVDERPB2EQPLEMZEGDOWY6273V \
  | 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: cd4648bc3a241eb2332430dd6c7b5fdd5b5b3d07e53f33055dcd2a08576f3999
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "65154f2958f5cac88fc85b1427945186ece1d5ffcbdf32bf3b02ba1ca847125d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-18T13:45:24Z",
    "title_canon_sha256": "47f7269d47ce06078824628095f18953ea6a27344fab0ab425a560fb12b3abb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3931",
    "kind": "arxiv",
    "version": 1
  }
}