Pith Number

pith:LJFQCYND

pith:2016:LJFQCYNDBEN2OCFQLIFDOSZA6G

not attested not anchored not stored refs pending

Entropic structure and duality for multiple species cross-diffusion systems

Ayman Moussa, Thomas Lepoutre

arxiv:1609.08503 v1 · 2016-09-27 · 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{LJFQCYNDBEN2OCFQLIFDOSZA6G}

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	2026-05-18T01:03:45.764128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4b0161a3091ba708b05a0a374b20f1a379f62d1ba1494aea315b5962561794

Aliases

arxiv: 1609.08503 · arxiv_version: 1609.08503v1 · doi: 10.48550/arxiv.1609.08503 · pith_short_12: LJFQCYNDBEN2 · pith_short_16: LJFQCYNDBEN2OCFQ · pith_short_8: LJFQCYND

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/LJFQCYNDBEN2OCFQLIFDOSZA6G \
  | 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: 5a4b0161a3091ba708b05a0a374b20f1a379f62d1ba1494aea315b5962561794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97391aed90d2b5b4b44107abc916cc816d35b891d66d32dfeb0599ef97ebc52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-27T15:46:33Z",
    "title_canon_sha256": "472511f22ba1f92d0d58588585360618ded7522df9d7781b845e30c8eb773055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08503",
    "kind": "arxiv",
    "version": 1
  }
}