Pith Number

pith:VZCCR7AV

pith:2015:VZCCR7AV253MMMOERY6JEZPGQF

not attested not anchored not stored refs pending

On contact sub-pseudo-Riemannian isometries

Marek Grochowski, Wojciech Krynski

arxiv:1508.00705 v2 · 2015-08-04 · 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{VZCCR7AV253MMMOERY6JEZPGQF}

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	2026-05-18T01:24:53.437868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4428fc15d776c631c48e3c9265e6817a95ebe8148a7b52e5d60a9287eef98a

Aliases

arxiv: 1508.00705 · arxiv_version: 1508.00705v2 · doi: 10.48550/arxiv.1508.00705 · pith_short_12: VZCCR7AV253M · pith_short_16: VZCCR7AV253MMMOE · pith_short_8: VZCCR7AV

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/VZCCR7AV253MMMOERY6JEZPGQF \
  | 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: ae4428fc15d776c631c48e3c9265e6817a95ebe8148a7b52e5d60a9287eef98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343d09f139b99a1b90be54ef631593540a135a79856e6784929a44dad0e86b6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-04T08:50:35Z",
    "title_canon_sha256": "0b663e79f909c1a9191949bfe1a7dc6e62991650764aa7b9c5a394f5577e47f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00705",
    "kind": "arxiv",
    "version": 2
  }
}