Pith Number

pith:CMYMR6WA

pith:2012:CMYMR6WAHGQRA3GSEJVAJK4GEP

not attested not anchored not stored refs pending

Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane

DIM), Jean Dolbeault (CEREMADE), Juan Campos Serrano (CEREMADE

arxiv:1206.1963 v2 · 2012-06-09 · 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{CMYMR6WAHGQRA3GSEJVAJK4GEP}

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	2026-05-18T03:10:55.914847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1330c8fac039a1106cd2226a04ab8623f41400ad09198ea51161870b2b0f0f77

Aliases

arxiv: 1206.1963 · arxiv_version: 1206.1963v2 · doi: 10.48550/arxiv.1206.1963 · pith_short_12: CMYMR6WAHGQR · pith_short_16: CMYMR6WAHGQRA3GS · pith_short_8: CMYMR6WA

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/CMYMR6WAHGQRA3GSEJVAJK4GEP \
  | 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: 1330c8fac039a1106cd2226a04ab8623f41400ad09198ea51161870b2b0f0f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6973d5181ade2f7915dc0f0f28b0d0566cb2f70c9b102069302d01628883f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-09T19:01:29Z",
    "title_canon_sha256": "dad83a919913e6d1f26e75bbabbc4298d1bfc96415dd1e660b98a885a781e668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1963",
    "kind": "arxiv",
    "version": 2
  }
}