Pith Number

pith:HXWDZIL6

pith:2014:HXWDZIL63C3GESRYHG7PSPVTVR

not attested not anchored not stored refs pending

On the profile of energy concentration at blow-up points for sub-conformal focusing nonlinear waves

Arick Shao, Spyros Alexakis

arxiv:1412.6844 v2 · 2014-12-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXWDZIL63C3GESRYHG7PSPVTVR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:04:32.946901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dec3ca17ed8b6624a3839bef93eb3ac63637a6a6afb9adcf14b92b092fc0cd5

Aliases

arxiv: 1412.6844 · arxiv_version: 1412.6844v2 · doi: 10.48550/arxiv.1412.6844 · pith_short_12: HXWDZIL63C3G · pith_short_16: HXWDZIL63C3GESRY · pith_short_8: HXWDZIL6

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/HXWDZIL63C3GESRYHG7PSPVTVR \
  | 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: 3dec3ca17ed8b6624a3839bef93eb3ac63637a6a6afb9adcf14b92b092fc0cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4649f77a95a24a6daa7205d5c4d34766c9f2508838c0a029bc73b1b118030d45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-21T23:21:27Z",
    "title_canon_sha256": "06b99911bb9800bcc285dcc79ad6fdb4eac3a72d21b6e066e118e65e5605c490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6844",
    "kind": "arxiv",
    "version": 2
  }
}