Pith Number

pith:L2JFVRS4

pith:2014:L2JFVRS4HMOCWC2W3PFBFU2X2Y

not attested not anchored not stored refs pending

Raising nilpotent orbits in wave-front sets

Baiying Liu, Dihua Jiang, Gordan Savin

arxiv:1412.8742 v2 · 2014-12-30 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2JFVRS4HMOCWC2W3PFBFU2X2Y}

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	2026-05-18T02:27:56.795978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e925ac65c3b1c2b0b56dbca12d357d627df1d2157223822b22e6ecebc3893ba

Aliases

arxiv: 1412.8742 · arxiv_version: 1412.8742v2 · doi: 10.48550/arxiv.1412.8742 · pith_short_12: L2JFVRS4HMOC · pith_short_16: L2JFVRS4HMOCWC2W · pith_short_8: L2JFVRS4

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/L2JFVRS4HMOCWC2W3PFBFU2X2Y \
  | 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: 5e925ac65c3b1c2b0b56dbca12d357d627df1d2157223822b22e6ecebc3893ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a9515ba314a2d518b69e22aadc4d95bb4f8cd8f546dfea5d415c918c196b24",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-30T19:30:08Z",
    "title_canon_sha256": "fd7a419b32565fbc27c4286d10aceeac339afafcd5c0842078c96db5e8926c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8742",
    "kind": "arxiv",
    "version": 2
  }
}