Pith Number

pith:KJZU6VPZ

pith:2016:KJZU6VPZLW2BL4LIDBVCZ6ZDGH

not attested not anchored not stored refs pending

A modulation technique for the blow-up profile of the vector-valued semilinear wave equation

Asma Azaiez, Hatem Zaag

arxiv:1612.05427 v3 · 2016-12-16 · 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{KJZU6VPZLW2BL4LIDBVCZ6ZDGH}

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	2026-05-18T00:42:07.308296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52734f55f95db415f168186a2cfb2331d8e4fb4cb472a92ec9062ed922ef2fb7

Aliases

arxiv: 1612.05427 · arxiv_version: 1612.05427v3 · doi: 10.48550/arxiv.1612.05427 · pith_short_12: KJZU6VPZLW2B · pith_short_16: KJZU6VPZLW2BL4LI · pith_short_8: KJZU6VPZ

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/KJZU6VPZLW2BL4LIDBVCZ6ZDGH \
  | 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: 52734f55f95db415f168186a2cfb2331d8e4fb4cb472a92ec9062ed922ef2fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3909628b1ef36d938426ce5fbf63c7b601ce12a06ba64f14e49d2194c5f755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-16T10:55:59Z",
    "title_canon_sha256": "d13e6d8011f4795ad876b21e33598e5af86d191320a4f9746aba4b50e4b3faeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05427",
    "kind": "arxiv",
    "version": 3
  }
}