Pith Number

pith:57APAGM2

pith:2021:57APAGM25IY6TLOBNBUOHPLG5F

not attested not anchored not stored refs pending

Global small solutions to the inviscid Hall-MHD system

Xiaoping Zhai, Yajuan Zhao, Yongsheng Li

arxiv:2106.10501 v1 · 2021-06-19 · 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{57APAGM25IY6TLOBNBUOHPLG5F}

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	2026-07-05T03:18:19.111362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc0f0199aea31e9adc16868e3bd66e95a94bae2d26df5b4272e43b0738e6eed

Aliases

arxiv: 2106.10501 · arxiv_version: 2106.10501v1 · doi: 10.48550/arxiv.2106.10501 · pith_short_12: 57APAGM25IY6 · pith_short_16: 57APAGM25IY6TLOB · pith_short_8: 57APAGM2

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/57APAGM25IY6TLOBNBUOHPLG5F \
  | 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: efc0f0199aea31e9adc16868e3bd66e95a94bae2d26df5b4272e43b0738e6eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1316905a5114357023bc15d5efcb75a3899668c7002766cf71f77c54181af42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-19T14:07:04Z",
    "title_canon_sha256": "d18c8d86c2878142b036d740d6658a31c5704b141eba477f32eba15b266d7d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10501",
    "kind": "arxiv",
    "version": 1
  }
}