Pith Number

pith:2CP7Y6A5

pith:2020:2CP7Y6A5O35OCWHWAUBQWAXU5K

not attested not anchored not stored refs pending

Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems

Alexandra Holzinger, Ansgar J\"ungel, Esther S. Daus, Li Chen

arxiv:2010.12389 v2 · 2020-10-23 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CP7Y6A5O35OCWHWAUBQWAXU5K}

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	2026-07-05T03:21:40.038247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09ffc781d76fae158f605030b02f4ea8442983f120e06a15bb63b1eee1ed1c9

Aliases

arxiv: 2010.12389 · arxiv_version: 2010.12389v2 · doi: 10.48550/arxiv.2010.12389 · pith_short_12: 2CP7Y6A5O35O · pith_short_16: 2CP7Y6A5O35OCWHW · pith_short_8: 2CP7Y6A5

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/2CP7Y6A5O35OCWHWAUBQWAXU5K \
  | 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: d09ffc781d76fae158f605030b02f4ea8442983f120e06a15bb63b1eee1ed1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435b1851829366fbaabad3d13cd80d44000989537105a369eeda3b56634f52e6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-23T13:23:25Z",
    "title_canon_sha256": "24d2c615565c14061cc431ee105eace6b23c56e3ff0ae52e794bd3165d26b6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12389",
    "kind": "arxiv",
    "version": 2
  }
}