Pith Number

pith:Z4S5MJP5

pith:2021:Z4S5MJP5X36PD33GK4HMECX5OM

not attested not anchored not stored refs pending

On a stiff problem in two-dimensional space

Liping Li, Wenjie Sun

arxiv:2107.08242 v2 · 2021-07-17 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4S5MJP5X36PD33GK4HMECX5OM}

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	2026-07-05T03:06:32.468704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf25d625fdbefcf1ef66570ec20afd731a62fe82ea13ad3e8f5c3975300def7f

Aliases

arxiv: 2107.08242 · arxiv_version: 2107.08242v2 · doi: 10.48550/arxiv.2107.08242 · pith_short_12: Z4S5MJP5X36P · pith_short_16: Z4S5MJP5X36PD33G · pith_short_8: Z4S5MJP5

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/Z4S5MJP5X36PD33GK4HMECX5OM \
  | 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: cf25d625fdbefcf1ef66570ec20afd731a62fe82ea13ad3e8f5c3975300def7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaeb440820a8359300e1877ae1b4ba0484d8e4839a93303b793fcfb10a47fe95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-17T14:13:12Z",
    "title_canon_sha256": "d74c21c27b235a7117306ae2f1269d63c65f17bf87d17a1cdcd9e1398dc704ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08242",
    "kind": "arxiv",
    "version": 2
  }
}