Pith Number

pith:W3RLIO45

pith:2012:W3RLIO45JAAQEDQK5ADVGVSWEA

not attested not anchored not stored refs pending

Multiple peak aggregations for the Keller-Segel system

Juan J. L. Vel\'azquez, Yoshie Sugiyama, Yukihiro Seki

arxiv:1203.0916 v1 · 2012-03-05 · 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{W3RLIO45JAAQEDQK5ADVGVSWEA}

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	2026-05-18T01:58:14.968863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e2b43b9d4801020e0ae807535656201bd6bcef42422d37dfc8f66cfd9c1790

Aliases

arxiv: 1203.0916 · arxiv_version: 1203.0916v1 · doi: 10.48550/arxiv.1203.0916 · pith_short_12: W3RLIO45JAAQ · pith_short_16: W3RLIO45JAAQEDQK · pith_short_8: W3RLIO45

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/W3RLIO45JAAQEDQK5ADVGVSWEA \
  | 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: b6e2b43b9d4801020e0ae807535656201bd6bcef42422d37dfc8f66cfd9c1790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055a60b56e3eadef243c98dabbc96f06ca35d5e8e60eef0d9f1717af33c16dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-05T13:53:06Z",
    "title_canon_sha256": "8eb2d2ae9cfa50db131a7fd27788d2b3c53c32abb4962f8566365098c9bbf222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0916",
    "kind": "arxiv",
    "version": 1
  }
}