Pith Number

pith:PXOID5UW

pith:2008:PXOID5UWRMCCSBK3MQFGOOA6O6

not attested not anchored not stored refs pending

On the nature of ill-posedness of the forward-backward heat equation

Illya M. Karabash, Marina Chugunova, Sergei G. Pyatkov

arxiv:0803.2552 v2 · 2008-03-18 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXOID5UWRMCCSBK3MQFGOOA6O6}

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	2026-05-18T04:30:58.497270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ddc81f6968b0429055b640a67381e77a431c232bb21a4b99fed09aff92391ba

Aliases

arxiv: 0803.2552 · arxiv_version: 0803.2552v2 · doi: 10.48550/arxiv.0803.2552 · pith_short_12: PXOID5UWRMCC · pith_short_16: PXOID5UWRMCCSBK3 · pith_short_8: PXOID5UW

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/PXOID5UWRMCCSBK3MQFGOOA6O6 \
  | 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: 7ddc81f6968b0429055b640a67381e77a431c232bb21a4b99fed09aff92391ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637cbe14be28b9f2509ef53f901f421be53c81dc72e2baa9cc384a0b2a9f2787",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-03-18T00:14:27Z",
    "title_canon_sha256": "516994c4e4309773a57552647952e098774e290a49a799c6e8c1c71a865d23cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2552",
    "kind": "arxiv",
    "version": 2
  }
}