Pith Number

pith:BB4MVHGT

pith:2021:BB4MVHGTX47VZ6HSRG443DDPEB

not attested not anchored not stored refs pending

The local characterizations of the singularity formation for the MHD equations

Fan Wu, Wenke Tan

arxiv:2108.10487 v1 · 2021-08-24 · 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{BB4MVHGTX47VZ6HSRG443DDPEB}

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	2026-07-05T03:08:09.973587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0878ca9cd3bf3f5cf8f289b9cd8c6f206d89ca320752207aafc07b8d1beabe99

Aliases

arxiv: 2108.10487 · arxiv_version: 2108.10487v1 · doi: 10.48550/arxiv.2108.10487 · pith_short_12: BB4MVHGTX47V · pith_short_16: BB4MVHGTX47VZ6HS · pith_short_8: BB4MVHGT

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/BB4MVHGTX47VZ6HSRG443DDPEB \
  | 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: 0878ca9cd3bf3f5cf8f289b9cd8c6f206d89ca320752207aafc07b8d1beabe99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acecda82c5526a54d373725fd159d4d518546317c3d24932fd969bd1130231ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-24T02:32:05Z",
    "title_canon_sha256": "10b409095de3265bd34f1521fd555070132fb69c82d7420ed01ba1072f8fcdd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10487",
    "kind": "arxiv",
    "version": 1
  }
}