Pith Number

pith:KTFJTAQX

pith:2020:KTFJTAQXI3YP7AEGGICM2MG6CH

not attested not anchored not stored refs pending

Nondispersive solutions to the mass critical half-wave equation in two dimensions

Vladimir Georgiev, Yuan Li

arxiv:2007.15370 v1 · 2020-07-30 · 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{KTFJTAQXI3YP7AEGGICM2MG6CH}

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	2026-07-05T01:23:30.244521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ca99821746f0ff80863204cd30de11fbc491ebd1fff59f0fd027d2225ad31e

Aliases

arxiv: 2007.15370 · arxiv_version: 2007.15370v1 · doi: 10.48550/arxiv.2007.15370 · pith_short_12: KTFJTAQXI3YP · pith_short_16: KTFJTAQXI3YP7AEG · pith_short_8: KTFJTAQX

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/KTFJTAQXI3YP7AEGGICM2MG6CH \
  | 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: 54ca99821746f0ff80863204cd30de11fbc491ebd1fff59f0fd027d2225ad31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdab542cfe27fe2570b44e00ec3086638c45ee9d810ba34bb8c1aab037bedf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-30T10:46:07Z",
    "title_canon_sha256": "216bea944161d0fdc3bd4ca562401df7d986b40d83c5fdfc4639a320edd9b911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15370",
    "kind": "arxiv",
    "version": 1
  }
}