Pith Number

pith:MJFHRP7O

pith:2009:MJFHRP7OANDIVYEGWI7QXYJJZO

not attested not anchored not stored refs pending

Singular reduction of Dirac structures

Jedrzej Sniatycki, Madeleine Jotz, Tudor S. Ratiu

arxiv:0901.3062 v6 · 2009-01-20 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJFHRP7OANDIVYEGWI7QXYJJZO}

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	2026-05-18T04:10:57.439425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624a78bfee03468ae086b23f0be129cba86240bd81745b2c133d61aa0513e347

Aliases

arxiv: 0901.3062 · arxiv_version: 0901.3062v6 · doi: 10.48550/arxiv.0901.3062 · pith_short_12: MJFHRP7OANDI · pith_short_16: MJFHRP7OANDIVYEG · pith_short_8: MJFHRP7O

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/MJFHRP7OANDIVYEGWI7QXYJJZO \
  | 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: 624a78bfee03468ae086b23f0be129cba86240bd81745b2c133d61aa0513e347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c859a6394b3843b4e252fb2da0cd7a58d4aebd243d6a7774d865425265b9c3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-20T15:29:27Z",
    "title_canon_sha256": "74b9b3008de25b16675dc7a612f73437a0f96590099ac3cc1f1e2e9f75bb628a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3062",
    "kind": "arxiv",
    "version": 6
  }
}