Pith Number

pith:RZXEKVQK

pith:2013:RZXEKVQKXEYTBXNNOSUGN3SGB3

not attested not anchored not stored refs pending

A remark on the number of invisible directions for a smooth Riemannian metric

Michael (Misha) Bialy

arxiv:1305.2736 v1 · 2013-05-13 · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZXEKVQKXEYTBXNNOSUGN3SGB3}

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	2026-05-18T03:25:47.488520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e6e45560ab93130ddad74a866ee460ecaf2951f97320d2633ed7a368897c723

Aliases

arxiv: 1305.2736 · arxiv_version: 1305.2736v1 · doi: 10.48550/arxiv.1305.2736 · pith_short_12: RZXEKVQKXEYT · pith_short_16: RZXEKVQKXEYTBXNN · pith_short_8: RZXEKVQK

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/RZXEKVQKXEYTBXNNOSUGN3SGB3 \
  | 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: 8e6e45560ab93130ddad74a866ee460ecaf2951f97320d2633ed7a368897c723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546977319659364a9006ddf64b1d5655510e2c9f2f2a96283640ca6e1c4127f9",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-13T10:53:06Z",
    "title_canon_sha256": "65b0940080a763e2d3bfcce3206c2cb339c00c4213cbe271d456938dba19f873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2736",
    "kind": "arxiv",
    "version": 1
  }
}