Pith Number

pith:CJRO24CX

pith:2017:CJRO24CXA6MQ7QFKRV2KEELAJX

not attested not anchored not stored refs pending

Backward uniqueness for general parabolic operators in the whole space

Jie Wu, Liqun Zhang

arxiv:1711.09567 v1 · 2017-11-27 · 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{CJRO24CXA6MQ7QFKRV2KEELAJX}

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	2026-05-18T00:29:35.104518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1262ed705707990fc0aa8d74a211604dc7251ea84af38e3cda943ccf5b4d06d4

Aliases

arxiv: 1711.09567 · arxiv_version: 1711.09567v1 · doi: 10.48550/arxiv.1711.09567 · pith_short_12: CJRO24CXA6MQ · pith_short_16: CJRO24CXA6MQ7QFK · pith_short_8: CJRO24CX

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/CJRO24CXA6MQ7QFKRV2KEELAJX \
  | 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: 1262ed705707990fc0aa8d74a211604dc7251ea84af38e3cda943ccf5b4d06d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540a0b2c7dd87de780c3f300ce9370ff7204df86f6e999026aad2737f4aa7047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-27T07:52:35Z",
    "title_canon_sha256": "20bc0b13e47661d316c7ba67ad1c881e3b24ff56a7daa252290ba813a6cbc130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09567",
    "kind": "arxiv",
    "version": 1
  }
}