Pith Number

pith:XL4NYZGG

pith:2013:XL4NYZGGYH7JJH2SKMEA435HYK

not attested not anchored not stored refs pending

On Sobolev spaces and density theorems on Finsler manifolds

Alireza Shahi, Behroz Bidabad

arxiv:1310.8027 v1 · 2013-10-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL4NYZGGYH7JJH2SKMEA435HYK}

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	2026-05-18T03:08:26.242429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf8dc64c6c1fe949f5253080e6fa7c2ba719de89cae5c08d7e3562f40e8b21e

Aliases

arxiv: 1310.8027 · arxiv_version: 1310.8027v1 · doi: 10.48550/arxiv.1310.8027 · pith_short_12: XL4NYZGGYH7J · pith_short_16: XL4NYZGGYH7JJH2S · pith_short_8: XL4NYZGG

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/XL4NYZGGYH7JJH2SKMEA435HYK \
  | 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: baf8dc64c6c1fe949f5253080e6fa7c2ba719de89cae5c08d7e3562f40e8b21e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388df394fc3c01868a5e80afad9247bac16e642f493ca1e631598e7eb594b2e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-30T05:23:28Z",
    "title_canon_sha256": "9ac3eb5ce0be3a6a0344a96fcb7d00b0a2a7a9a8b226d5e20d17bb9e595ca9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8027",
    "kind": "arxiv",
    "version": 1
  }
}