Pith Number

pith:PHAS3AW7

pith:2015:PHAS3AW7Z7NVS4AGV6UB2NBDPM

not attested not anchored not stored refs pending

Revisit to Fritz John's paper on the blow-up of nonlinear wave equations

Xin Yang, Zhengfang Zhou

arxiv:1510.08422 v2 · 2015-10-28 · 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{PHAS3AW7Z7NVS4AGV6UB2NBDPM}

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	2026-05-18T01:20:25.843634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c12d82dfcfdb597006afa81d34237b2efd67026336ed0010ce664a8684e58a

Aliases

arxiv: 1510.08422 · arxiv_version: 1510.08422v2 · doi: 10.48550/arxiv.1510.08422 · pith_short_12: PHAS3AW7Z7NV · pith_short_16: PHAS3AW7Z7NVS4AG · pith_short_8: PHAS3AW7

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/PHAS3AW7Z7NVS4AGV6UB2NBDPM \
  | 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: 79c12d82dfcfdb597006afa81d34237b2efd67026336ed0010ce664a8684e58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9073318769a30c7a4f6e693b55d70add8625ff9c80314b5c2fd046d398706d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-28T19:19:46Z",
    "title_canon_sha256": "83340ebc0db5a55a38fb37e15e4751406bdf71a14c1eb7ad23193641cdcc6442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08422",
    "kind": "arxiv",
    "version": 2
  }
}