Pith Number

pith:WFJYM6VF

pith:2016:WFJYM6VFVACKHEAFOJAIQFLGBC

not attested not anchored not stored refs pending

On a certain type of nonlinear hyperbolic equations derived from astrophysical problems

Tetu Makino

arxiv:1602.00168 v1 · 2016-01-30 · 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{WFJYM6VFVACKHEAFOJAIQFLGBC}

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	2026-05-18T01:21:36.137411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b153867aa5a804a39005724088156608af07ebbd833cf29525f0656b2159aad9

Aliases

arxiv: 1602.00168 · arxiv_version: 1602.00168v1 · doi: 10.48550/arxiv.1602.00168 · pith_short_12: WFJYM6VFVACK · pith_short_16: WFJYM6VFVACKHEAF · pith_short_8: WFJYM6VF

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/WFJYM6VFVACKHEAFOJAIQFLGBC \
  | 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: b153867aa5a804a39005724088156608af07ebbd833cf29525f0656b2159aad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46cce25422f3578b759a3d60ee7273a757c9e2b339566828deb2d572676b39c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-30T22:36:48Z",
    "title_canon_sha256": "eef0c7f5757c4a5ea9d7e85b62e5de2a020da0d269eb0a8212102fffeffb7c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00168",
    "kind": "arxiv",
    "version": 1
  }
}