Pith Number

pith:ZBRRY2XQ

pith:2000:ZBRRY2XQTNHFH4UEINH7B3ZG6L

not attested not anchored not stored refs pending

Orbit reduction of exterior differential systems, and group-invariant variational problems

Vladimir Itskov

arxiv:math/0011085 v2 · 2000-11-14 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBRRY2XQTNHFH4UEINH7B3ZG6L}

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	2026-05-18T01:05:38.120786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8631c6af09b4e53f284434ff0ef26f2d36a30a2a0913e69e13e75c5312ffe4f

Aliases

arxiv: math/0011085 · arxiv_version: math/0011085v2 · doi: 10.48550/arxiv.math/0011085 · pith_short_12: ZBRRY2XQTNHF · pith_short_16: ZBRRY2XQTNHFH4UE · pith_short_8: ZBRRY2XQ

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/ZBRRY2XQTNHFH4UEINH7B3ZG6L \
  | 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: c8631c6af09b4e53f284434ff0ef26f2d36a30a2a0913e69e13e75c5312ffe4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2fe95f5c4334f7224654e1199d7b1b10d164524a9f93fca8ceb53c5a4377576",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-11-14T03:20:45Z",
    "title_canon_sha256": "5890dcdfb8121f8258fe2803a92e2c069fec488f9f92e0a183a70073c75cc83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011085",
    "kind": "arxiv",
    "version": 2
  }
}