Pith Number

pith:47L4RGHQ

pith:2012:47L4RGHQGILMVMDFBKSUL2LPRQ

not attested not anchored not stored refs pending

On finite time blowup for mass-critical Hartree equations

Gyeongha Hwang, Sanghyuk Lee, Soonsik Kwon, Yonggeun Cho

arxiv:1208.2302 v3 · 2012-08-11 · 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{47L4RGHQGILMVMDFBKSUL2LPRQ}

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	2026-05-18T02:56:35.518984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d7c898f03216cab0650aa545e96f8c01e9490741f26890820ec7ca2a56f251

Aliases

arxiv: 1208.2302 · arxiv_version: 1208.2302v3 · doi: 10.48550/arxiv.1208.2302 · pith_short_12: 47L4RGHQGILM · pith_short_16: 47L4RGHQGILMVMDF · pith_short_8: 47L4RGHQ

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/47L4RGHQGILMVMDFBKSUL2LPRQ \
  | 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: e7d7c898f03216cab0650aa545e96f8c01e9490741f26890820ec7ca2a56f251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc6202aa5c9078fa761de26f3dcb3d349b33777aa5299e9d82e09e8aaba0912",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-11T02:11:28Z",
    "title_canon_sha256": "8172aed239553a1b0b5c7c94b9d1e32addf86a9fb4506d29d4fa30b199c44aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2302",
    "kind": "arxiv",
    "version": 3
  }
}