Pith Number

pith:T2CTC4JR

pith:2012:T2CTC4JR5KKVNNWAEJJVF5VXFN

not attested not anchored not stored refs pending

Well-posedness of sudden directional diffusion equations

Piotr Bogus{\l}aw Mucha, Piotr Rybka

arxiv:1207.4929 v1 · 2012-07-20 · 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{T2CTC4JR5KKVNNWAEJJVF5VXFN}

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	2026-05-18T03:50:34.792546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e85317131ea9556b6c0225352f6b72b5b974d540cb26bcc409cd596ff4d1ae9

Aliases

arxiv: 1207.4929 · arxiv_version: 1207.4929v1 · doi: 10.48550/arxiv.1207.4929 · pith_short_12: T2CTC4JR5KKV · pith_short_16: T2CTC4JR5KKVNNWA · pith_short_8: T2CTC4JR

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/T2CTC4JR5KKVNNWAEJJVF5VXFN \
  | 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: 9e85317131ea9556b6c0225352f6b72b5b974d540cb26bcc409cd596ff4d1ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae33cd3cf9f634439915f407704f629f467764b2c589a776c51632f8df79df44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-20T12:03:59Z",
    "title_canon_sha256": "14e19fbe5e51b8e0991c3363705f2f46d25865880a6757a32097e8720855ba9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4929",
    "kind": "arxiv",
    "version": 1
  }
}