Pith Number

pith:5JH75Y5L

pith:2019:5JH75Y5L75E72HK3VGXTLSU5BT

not attested not anchored not stored refs pending

Sharp resolvent estimates on non-positively curved asymptotically hyperbolic manifolds

Yiran Wang

arxiv:1912.12251 v1 · 2019-12-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JH75Y5L75E72HK3VGXTLSU5BT}

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	2026-07-05T00:28:41.799312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea4ffee3abff49fd1d5ba9af35ca9d0cc1eb6cd7dee8327a12dfff8aa29814de

Aliases

arxiv: 1912.12251 · arxiv_version: 1912.12251v1 · doi: 10.48550/arxiv.1912.12251 · pith_short_12: 5JH75Y5L75E7 · pith_short_16: 5JH75Y5L75E72HK3 · pith_short_8: 5JH75Y5L

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/5JH75Y5L75E72HK3VGXTLSU5BT \
  | 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: ea4ffee3abff49fd1d5ba9af35ca9d0cc1eb6cd7dee8327a12dfff8aa29814de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5beedb11beca4ebd32441f406bcb6db38583bba6542ddc137043241856b6b0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-27T17:27:17Z",
    "title_canon_sha256": "ba62903f383141fb11a666474b2b00b4ac6b177a0224c1441e6850727a2bc893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12251",
    "kind": "arxiv",
    "version": 1
  }
}