Pith Number

pith:BPTBVWJU

pith:2019:BPTBVWJUQGNUFF6DAN5HDS2LZG

not attested not anchored not stored refs pending

Concentration Phenomenon of Semiclassical States to Reaction-Diffusion Systems

Tianxiang Gou, Zhitao Zhang

arxiv:1909.05453 v3 · 2019-09-12 · 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{BPTBVWJUQGNUFF6DAN5HDS2LZG}

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	2026-07-05T05:28:40.325913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be61ad934819b4297c3037a71cb4bc9be5049fa19ac1b20f5bf1a6aad4aff65

Aliases

arxiv: 1909.05453 · arxiv_version: 1909.05453v3 · doi: 10.48550/arxiv.1909.05453 · pith_short_12: BPTBVWJUQGNU · pith_short_16: BPTBVWJUQGNUFF6D · pith_short_8: BPTBVWJU

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/BPTBVWJUQGNUFF6DAN5HDS2LZG \
  | 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: 0be61ad934819b4297c3037a71cb4bc9be5049fa19ac1b20f5bf1a6aad4aff65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4fcfea4af4a90c22e93835e1bc0b5ffb3bb1c663e9dc538051e1c6d8e954ded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-09-12T04:54:46Z",
    "title_canon_sha256": "1c71e6c3518612d52acd7ff131b90ddd8a8738d7355c457020c14ec5f6b49186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05453",
    "kind": "arxiv",
    "version": 3
  }
}