Pith Number

pith:HNVNFDN7

pith:2016:HNVNFDN7YIS2VWKOBIDG3JYBYV

not attested not anchored not stored refs pending

The porous medium equation with large initial data on negatively curved Riemannian manifolds

Fabio Punzo, Gabriele Grillo, Matteo Muratori

arxiv:1609.06498 v1 · 2016-09-21 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNVNFDN7YIS2VWKOBIDG3JYBYV}

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	2026-05-18T00:13:48.359923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6ad28dbfc225aad94e0a066da701c55c18bc30afa5a798890fd9a806b8a50b

Aliases

arxiv: 1609.06498 · arxiv_version: 1609.06498v1 · doi: 10.48550/arxiv.1609.06498 · pith_short_12: HNVNFDN7YIS2 · pith_short_16: HNVNFDN7YIS2VWKO · pith_short_8: HNVNFDN7

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/HNVNFDN7YIS2VWKOBIDG3JYBYV \
  | 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: 3b6ad28dbfc225aad94e0a066da701c55c18bc30afa5a798890fd9a806b8a50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38516df1148c3b4eeba21233cebfeaf126b85131711638f50804552b0a53b88",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-21T11:10:42Z",
    "title_canon_sha256": "de05aa382f51cbac9bcd1ce3009dfae2e28501fee8c77a00f522acb13db6f9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06498",
    "kind": "arxiv",
    "version": 1
  }
}