Pith Number

pith:M5THRVZ2

pith:2013:M5THRVZ2MJ2SYPE6BUXP5VIMCY

not attested not anchored not stored refs pending

Quantitative Rellich Inequalities on Finsler-Hadamard Manifolds

Alexandru Krist\'aly, Du\v{s}an Repov\v{s}

arxiv:1312.6699 v2 · 2013-12-23 · 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{M5THRVZ2MJ2SYPE6BUXP5VIMCY}

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	2026-05-18T01:04:33.670240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676678d73a62752c3c9e0d2efed50c1621de52b7bb4157c6d47a934a06e85540

Aliases

arxiv: 1312.6699 · arxiv_version: 1312.6699v2 · doi: 10.48550/arxiv.1312.6699 · pith_short_12: M5THRVZ2MJ2S · pith_short_16: M5THRVZ2MJ2SYPE6 · pith_short_8: M5THRVZ2

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/M5THRVZ2MJ2SYPE6BUXP5VIMCY \
  | 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: 676678d73a62752c3c9e0d2efed50c1621de52b7bb4157c6d47a934a06e85540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663d6e90d11538ad58d45fdfd1729b0d03491da4e2de8b3f1649d829ffc88447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-23T21:11:19Z",
    "title_canon_sha256": "372f0ec66c91f6386c628a60be2e52145e6d37b90b9dc2056ab28c5809cee3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6699",
    "kind": "arxiv",
    "version": 2
  }
}