Pith Number

pith:SAH4QQET

pith:2013:SAH4QQET4EQT47ZJA2PJ7FMD2F

not attested not anchored not stored refs pending

Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D

Giovanni A. Bonaschi, Jos\'e A. Carrillo, Marco Di Francesco, Mark A. Peletier

arxiv:1310.4110 v1 · 2013-10-15 · 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{SAH4QQET4EQT47ZJA2PJ7FMD2F}

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	2026-05-18T03:10:25.018006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900fc84093e1213e7f29069e9f9583d177664e357db5802609f7ef81a8342fd2

Aliases

arxiv: 1310.4110 · arxiv_version: 1310.4110v1 · doi: 10.48550/arxiv.1310.4110 · pith_short_12: SAH4QQET4EQT · pith_short_16: SAH4QQET4EQT47ZJ · pith_short_8: SAH4QQET

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/SAH4QQET4EQT47ZJA2PJ7FMD2F \
  | 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: 900fc84093e1213e7f29069e9f9583d177664e357db5802609f7ef81a8342fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c5a11158e130afa6f9039ada42d286b06286c7fcacf921e1dca316b37cf735",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-15T16:46:03Z",
    "title_canon_sha256": "6e7f3a81a4ce0cb143822e909535b67f3c149fb69ca5963db0d465320e19b7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4110",
    "kind": "arxiv",
    "version": 1
  }
}