Pith Number

pith:RFGC63EL

pith:2010:RFGC63ELN5KOG2XVSQ3HO6SRY4

not attested not anchored not stored refs pending

Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions

Christoph Walker

arxiv:1011.3334 v1 · 2010-11-15 · 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{RFGC63ELN5KOG2XVSQ3HO6SRY4}

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	2026-05-18T04:35:56.113920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894c2f6c8b6f54e36af59436777a51c70a6b32c166207775f7f8033eccdde978

Aliases

arxiv: 1011.3334 · arxiv_version: 1011.3334v1 · doi: 10.48550/arxiv.1011.3334 · pith_short_12: RFGC63ELN5KO · pith_short_16: RFGC63ELN5KOG2XV · pith_short_8: RFGC63EL

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/RFGC63ELN5KOG2XVSQ3HO6SRY4 \
  | 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: 894c2f6c8b6f54e36af59436777a51c70a6b32c166207775f7f8033eccdde978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48df557fba0d1a4a8f015dc588ab6fc860f91a6840c3d0f464f912ed7b4e732f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-15T10:34:55Z",
    "title_canon_sha256": "5e72354fe59d060295273c10fe5dcdb404b4cae71bbb0559478c25901011448d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3334",
    "kind": "arxiv",
    "version": 1
  }
}