Pith Number

pith:NOFJKROG

pith:2026:NOFJKROGIAI26VGWC2GXNKM3ZL

not attested not anchored not stored refs pending

Qualitative bifurcation diagram for Grad-Shafranov type equations

Aleks Jevnikar, Daniele Bartolucci, Guangze Gu, Juncheng Wei, Ruijun Wu

arxiv:2607.26861 v1 · 2026-07-29 · 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{NOFJKROGIAI26VGWC2GXNKM3ZL}

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	2026-07-30T01:22:33.334509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6b8a9545c64011af54d6168d76a99bcad703c0d7c3712b8fc7127ef94cf1dd29

Aliases

arxiv: 2607.26861 · arxiv_version: 2607.26861v1 · doi: 10.48550/arxiv.2607.26861 · pith_short_12: NOFJKROGIAI2 · pith_short_16: NOFJKROGIAI26VGW · pith_short_8: NOFJKROG

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/NOFJKROGIAI26VGWC2GXNKM3ZL \
  | 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: 6b8a9545c64011af54d6168d76a99bcad703c0d7c3712b8fc7127ef94cf1dd29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ade6611f7faef5f7cbe3ef03e60e92d373d450f814ce8c0fbee9e37450a8ada",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T12:45:16Z",
    "title_canon_sha256": "77c31cd26cc08a0b0f63c6440ce92f96d848a62ba89263cfc3ef07c70d9ff44d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26861",
    "kind": "arxiv",
    "version": 1
  }
}