Pith Number

pith:77IITBGS

pith:2011:77IITBGSS7WABL25AFO2EDDYRW

not attested not anchored not stored refs pending

On Spectra of Linearized Operators for Keller-Segel Models of Chemotaxis

I. M. Sigal, P.M. Lushnikov, S. I. Dejak, Yu. N. Ovchinnikov

arxiv:1110.6393 v1 · 2011-10-28 · nlin.PS · math-ph · math.MP · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77IITBGSS7WABL25AFO2EDDYRW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:46:47.583756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd08984d297ec00af5d015da20c788d9a9d8d0cdc4d75aa16e1104dfff43420

Aliases

arxiv: 1110.6393 · arxiv_version: 1110.6393v1 · doi: 10.48550/arxiv.1110.6393 · pith_short_12: 77IITBGSS7WA · pith_short_16: 77IITBGSS7WABL25 · pith_short_8: 77IITBGS

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/77IITBGSS7WABL25AFO2EDDYRW \
  | 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: ffd08984d297ec00af5d015da20c788d9a9d8d0cdc4d75aa16e1104dfff43420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8cd696990d7a1da27aef1530957e9e6be4395958f419aab14314db959cf189",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-10-28T16:53:35Z",
    "title_canon_sha256": "40984454bcc697e5c39719e8108a60e7fefca2d809304abc7d92def8c8f4cf63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6393",
    "kind": "arxiv",
    "version": 1
  }
}