Pith Number

pith:XSHL7LG4

pith:2016:XSHL7LG47SJY5VID3KMZ5OOINB

not attested not anchored not stored refs pending

On local geometry of vector distributions with given Jacobi symbols

Boris Doubrov, Igor zelenko

arxiv:1610.09577 v1 · 2016-10-29 · 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{XSHL7LG47SJY5VID3KMZ5OOINB}

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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.

Cited by

3 papers in Pith

Generalized pseudo-product structures and finite type distributions via abnormal extremals

Receipt and verification

First computed	2026-05-18T01:00:51.634701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8ebfacdcfc938ed503da999eb9c8684651d6854b186e9474a9c579f3371e44

Aliases

arxiv: 1610.09577 · arxiv_version: 1610.09577v1 · doi: 10.48550/arxiv.1610.09577 · pith_short_12: XSHL7LG47SJY · pith_short_16: XSHL7LG47SJY5VID · pith_short_8: XSHL7LG4

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/XSHL7LG47SJY5VID3KMZ5OOINB \
  | 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: bc8ebfacdcfc938ed503da999eb9c8684651d6854b186e9474a9c579f3371e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd293ea0195ced47b40b997835dd1732e89b14c11b63fe72097a52cbdefa430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-29T23:08:09Z",
    "title_canon_sha256": "13248c6387e9618fc3d17f4295e3c974c5f2613335e733094ff5320011d6d07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09577",
    "kind": "arxiv",
    "version": 1
  }
}