Pith Number

pith:PGEL3UVR

pith:2016:PGEL3UVRH5A3NJZ63BNVOHOD7E

not attested not anchored not stored refs pending

Boundary concentration phenomena for the higher-dimensional Keller-Segel system

Angela Pistoia, Oscar Agudelo

arxiv:1603.06445 v1 · 2016-03-21 · 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{PGEL3UVRH5A3NJZ63BNVOHOD7E}

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	2026-05-18T01:18:48.508938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7988bdd2b13f41b6a73ed85b571dc3f9011b1bdc302c9715a46372c8292a08ba

Aliases

arxiv: 1603.06445 · arxiv_version: 1603.06445v1 · doi: 10.48550/arxiv.1603.06445 · pith_short_12: PGEL3UVRH5A3 · pith_short_16: PGEL3UVRH5A3NJZ6 · pith_short_8: PGEL3UVR

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/PGEL3UVRH5A3NJZ63BNVOHOD7E \
  | 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: 7988bdd2b13f41b6a73ed85b571dc3f9011b1bdc302c9715a46372c8292a08ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93b1fd9a44b4a5678d93237c073dc8d7025051390d63e3be39514a5327d3fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-21T14:59:57Z",
    "title_canon_sha256": "3a16cd7ec002aeef0856e4801e7a44062bd931bbb6a5ef3d423a1327780fcf05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06445",
    "kind": "arxiv",
    "version": 1
  }
}