Pith Number

pith:J6F5LK6S

pith:2013:J6F5LK6SRYFIQ6ACHPDFAYXVTK

not attested not anchored not stored refs pending

Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations

Francois James (MAPMO, FRDP), INRIA-Paris-Rocquencourt), Nicolas Vauchelet (LJLL

arxiv:1303.5836 v3 · 2013-03-23 · 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{J6F5LK6SRYFIQ6ACHPDFAYXVTK}

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	2026-05-18T02:43:37.053414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8bd5abd28e0a8878023bc65062f59aa1576c4b549e94fcb33142c6fdfdcb4b

Aliases

arxiv: 1303.5836 · arxiv_version: 1303.5836v3 · doi: 10.48550/arxiv.1303.5836 · pith_short_12: J6F5LK6SRYFI · pith_short_16: J6F5LK6SRYFIQ6AC · pith_short_8: J6F5LK6S

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/J6F5LK6SRYFIQ6ACHPDFAYXVTK \
  | 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: 4f8bd5abd28e0a8878023bc65062f59aa1576c4b549e94fcb33142c6fdfdcb4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47e96cc79cf1fc4a2e8dce37debd060b5c3a5bf4d63e10a99e6270c1ed51d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-23T11:37:12Z",
    "title_canon_sha256": "d2eea35c5d0e2a8676a938c722e836f4280b036ec065c3f72ca59afe1622c2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5836",
    "kind": "arxiv",
    "version": 3
  }
}