Pith Number

pith:6BL6QMEV

pith:2009:6BL6QMEVK3CEX5LWJT4C37DH4Z

not attested not anchored not stored refs pending

Compatibility of Gauss maps with metrics

B. S. Kruglikov, J. Eschenburg, R. Tribuzy, V. S. Matveev

arxiv:0903.3225 v1 · 2009-03-18 · math.DG · 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{6BL6QMEVK3CEX5LWJT4C37DH4Z}

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	2026-05-18T03:36:05.254775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f057e8309556c44bf5764cf82dfc67e65be74f37d5512b8cf18ca8744eb09720

Aliases

arxiv: 0903.3225 · arxiv_version: 0903.3225v1 · doi: 10.48550/arxiv.0903.3225 · pith_short_12: 6BL6QMEVK3CE · pith_short_16: 6BL6QMEVK3CEX5LW · pith_short_8: 6BL6QMEV

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/6BL6QMEVK3CEX5LWJT4C37DH4Z \
  | 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: f057e8309556c44bf5764cf82dfc67e65be74f37d5512b8cf18ca8744eb09720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3a91a9683343614641da1ae92efadbe79830b77aa0a9d52f8e633554c4b212",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-18T19:19:11Z",
    "title_canon_sha256": "408fce7c17ceafbe017cddf1e9d146a151ba87479c8cccfc36abea2aa7d35508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3225",
    "kind": "arxiv",
    "version": 1
  }
}