Pith Number

pith:HKYAR2HA

pith:2011:HKYAR2HA2E37R73BOS4CXYZISW

not attested not anchored not stored refs pending

Chemotaxis: from kinetic equations to aggregate dynamics

Fran\c{c}ois James (MAPMO), INRIA Rocquencourt), Nicolas Vauchelet (LJLL

arxiv:1107.0786 v2 · 2011-07-05 · 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{HKYAR2HA2E37R73BOS4CXYZISW}

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	2026-05-18T04:07:07.797160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab008e8e0d137f8ff6174b82be32895a7363167a61d64c00ca1be55d3160248

Aliases

arxiv: 1107.0786 · arxiv_version: 1107.0786v2 · doi: 10.48550/arxiv.1107.0786 · pith_short_12: HKYAR2HA2E37 · pith_short_16: HKYAR2HA2E37R73B · pith_short_8: HKYAR2HA

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/HKYAR2HA2E37R73BOS4CXYZISW \
  | 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: 3ab008e8e0d137f8ff6174b82be32895a7363167a61d64c00ca1be55d3160248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "034b8f4b7560e8e0f7856d28c287a2fcdcc2f6c0364f58f534ef30bacdde1c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-05T05:58:46Z",
    "title_canon_sha256": "4cc4d7e27bc9b12eadd1c61296f11bd728c4c2cade237cf2ca8f3a6dd298c31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0786",
    "kind": "arxiv",
    "version": 2
  }
}