Pith Number

pith:QW4ZJLLV

pith:2018:QW4ZJLLV6CQKPT52PKFIQQCL2F

not attested not anchored not stored refs pending

Dimension-like functions and spectrums of Finsler manifolds

Wei Zhao, Zhongmin Shen

arxiv:1806.04215 v3 · 2018-06-11 · 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{QW4ZJLLV6CQKPT52PKFIQQCL2F}

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	2026-05-17T23:41:54.020168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b994ad75f0a0a7cfba7a8a88404bd17f252fbc486f968d37b95432227eae74

Aliases

arxiv: 1806.04215 · arxiv_version: 1806.04215v3 · doi: 10.48550/arxiv.1806.04215 · pith_short_12: QW4ZJLLV6CQK · pith_short_16: QW4ZJLLV6CQKPT52 · pith_short_8: QW4ZJLLV

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/QW4ZJLLV6CQKPT52PKFIQQCL2F \
  | 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: 85b994ad75f0a0a7cfba7a8a88404bd17f252fbc486f968d37b95432227eae74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff978b94a280ea8bb6ba0f17024f346717a97efaa36cceebca622aeaae81d511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-11T19:44:37Z",
    "title_canon_sha256": "c8c0532e9e977681b75900328964ad4eb36db4c43d202d55ec8e546b3e08d0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04215",
    "kind": "arxiv",
    "version": 3
  }
}