Pith Number

pith:GCPNMNBD

pith:2013:GCPNMNBDPJDJOPF65ELP4XAOOA

not attested not anchored not stored refs pending

Condensation phenomena in nonlinear drift equations

Giuseppe Toscani, Jose' A. Carrillo, Marco Di Francesco

arxiv:1307.2275 v1 · 2013-07-08 · 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{GCPNMNBDPJDJOPF65ELP4XAOOA}

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	2026-05-18T03:18:52.975979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309ed634237a46973cbee916fe5c0e7022821e6693a6f67fb1a1be639de7646a

Aliases

arxiv: 1307.2275 · arxiv_version: 1307.2275v1 · doi: 10.48550/arxiv.1307.2275 · pith_short_12: GCPNMNBDPJDJ · pith_short_16: GCPNMNBDPJDJOPF6 · pith_short_8: GCPNMNBD

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/GCPNMNBDPJDJOPF65ELP4XAOOA \
  | 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: 309ed634237a46973cbee916fe5c0e7022821e6693a6f67fb1a1be639de7646a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f60c0d05841c191281f5d13a215e4e60f2b42a89ff834fe2939dc164cdb668c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-08T21:23:28Z",
    "title_canon_sha256": "5df0b2f19a678620292eae7be564ff3fbf973b352889bfeb97c6a741f659cc55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2275",
    "kind": "arxiv",
    "version": 1
  }
}