Pith Number

pith:VXPQPRBP

pith:2013:VXPQPRBP2BFNJI43OFJPMDQH7D

not attested not anchored not stored refs pending

Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation

Manh Hong Duong

arxiv:1307.5184 v1 · 2013-07-19 · 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{VXPQPRBP2BFNJI43OFJPMDQH7D}

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	2026-05-18T03:18:05.502529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addf07c42fd04ad4a39b7152f60e07f8c0aea1f5a014b6c7a0db6ef2d967264f

Aliases

arxiv: 1307.5184 · arxiv_version: 1307.5184v1 · doi: 10.48550/arxiv.1307.5184 · pith_short_12: VXPQPRBP2BFN · pith_short_16: VXPQPRBP2BFNJI43 · pith_short_8: VXPQPRBP

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/VXPQPRBP2BFNJI43OFJPMDQH7D \
  | 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: addf07c42fd04ad4a39b7152f60e07f8c0aea1f5a014b6c7a0db6ef2d967264f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b3951557b19c8562ee6b43a2b6e06b67fda38e728e60def21a6905a5c6429b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-19T11:36:49Z",
    "title_canon_sha256": "738b92aff2da3abe34d1d753214d6b0a7ab6260c0ae54cc45d90bacb2d910053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5184",
    "kind": "arxiv",
    "version": 1
  }
}