Pith Number

pith:2PJ3CDUS

pith:2021:2PJ3CDUSEQVXFTRBZL5Z2JFCVY

not attested not anchored not stored refs pending

Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy

Jie Liu, Ke Chen

arxiv:2104.11872 v2 · 2021-04-24 · 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{2PJ3CDUSEQVXFTRBZL5Z2JFCVY}

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	2026-07-05T04:51:37.811142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d3b10e92242b72ce21cafb9d24a2ae29452357d2caa7655450630f775b5a15

Aliases

arxiv: 2104.11872 · arxiv_version: 2104.11872v2 · doi: 10.48550/arxiv.2104.11872 · pith_short_12: 2PJ3CDUSEQVX · pith_short_16: 2PJ3CDUSEQVXFTRB · pith_short_8: 2PJ3CDUS

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/2PJ3CDUSEQVXFTRBZL5Z2JFCVY \
  | 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: d3d3b10e92242b72ce21cafb9d24a2ae29452357d2caa7655450630f775b5a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1776e88b41df823032e75f625d0f4d4e08fdc117e7440a4ba11a37cc56ffbb46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-24T03:24:04Z",
    "title_canon_sha256": "69a6aa6050d1bb973b46979a42e8d77fd521ecfbeb0fae17c4f75f194325cbd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11872",
    "kind": "arxiv",
    "version": 2
  }
}