Pith Number

pith:NHP7VFND

pith:2021:NHP7VFND4V5UZ43OUC2XXH4FLS

not attested not anchored not stored refs pending

Multiplicity and asymptotics of standing waves for the energy critical half-wave

Tao Yang, Xiaolong Yang, Xiao Luo

arxiv:2102.09702 v1 · 2021-02-19 · 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{NHP7VFND4V5UZ43OUC2XXH4FLS}

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	2026-07-05T02:16:30.168562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69dffa95a3e57b4cf36ea0b57b9f855c87ab70a784a8e35579fc5d3a0a999444

Aliases

arxiv: 2102.09702 · arxiv_version: 2102.09702v1 · doi: 10.48550/arxiv.2102.09702 · pith_short_12: NHP7VFND4V5U · pith_short_16: NHP7VFND4V5UZ43O · pith_short_8: NHP7VFND

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/NHP7VFND4V5UZ43OUC2XXH4FLS \
  | 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: 69dffa95a3e57b4cf36ea0b57b9f855c87ab70a784a8e35579fc5d3a0a999444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4eb1e50d816a5bdb7e39918ca9a77b64d0455b17dfce8a9e1933425d3849c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-19T01:36:36Z",
    "title_canon_sha256": "f2386fed2a96ea45faf83ee3cfb0897f44eea60c241f381180e8f82728c32dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09702",
    "kind": "arxiv",
    "version": 1
  }
}