Pith Number

pith:MWUPY5SZ

pith:2013:MWUPY5SZ3KBTEE2YPMWGXWSVEO

not attested not anchored not stored refs pending

Boltzmann Model for viscoelastic particles: asymptotic behavior, pointwise lower bounds and regularity

Bertrand Lods, Ricardo J. Alonso

arxiv:1306.1379 v2 · 2013-06-06 · 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{MWUPY5SZ3KBTEE2YPMWGXWSVEO}

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	2026-05-18T01:49:32.043334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a8fc7659da833213587b2c6bda552391f2e96b74d656eb3a1aa8266cf320d8

Aliases

arxiv: 1306.1379 · arxiv_version: 1306.1379v2 · doi: 10.48550/arxiv.1306.1379 · pith_short_12: MWUPY5SZ3KBT · pith_short_16: MWUPY5SZ3KBTEE2Y · pith_short_8: MWUPY5SZ

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/MWUPY5SZ3KBTEE2YPMWGXWSVEO \
  | 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: 65a8fc7659da833213587b2c6bda552391f2e96b74d656eb3a1aa8266cf320d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5209f4fa4d2df251d7459b0956c8cea8203ea26e7463ce9311baaa68ffdd3505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-06T11:33:57Z",
    "title_canon_sha256": "bf0610e522221637ab78d0e68ecbee33daca86e9dcec384c339cf2f53f586705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1379",
    "kind": "arxiv",
    "version": 2
  }
}