Pith Number

pith:DVNPZDEF

pith:2017:DVNPZDEFN7ZM4WLJRJWWJK3OOC

not attested not anchored not stored refs pending

Porous medium equations on manifolds with critical negative curvature: unbounded initial data

Fabio Punzo, Matteo Muratori

arxiv:1712.04862 v1 · 2017-12-13 · 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{DVNPZDEFN7ZM4WLJRJWWJK3OOC}

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	2026-05-18T00:28:03.259548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5afc8c856ff2ce59698a6d64ab6e70b7a13a1756e4b52c5406b8d01c7ca6e8

Aliases

arxiv: 1712.04862 · arxiv_version: 1712.04862v1 · doi: 10.48550/arxiv.1712.04862 · pith_short_12: DVNPZDEFN7ZM · pith_short_16: DVNPZDEFN7ZM4WLJ · pith_short_8: DVNPZDEF

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/DVNPZDEFN7ZM4WLJRJWWJK3OOC \
  | 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: 1d5afc8c856ff2ce59698a6d64ab6e70b7a13a1756e4b52c5406b8d01c7ca6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529087700c94a1c75a1d8b3151c935de5212d008600488e83979f4adcad4ebed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-13T17:00:28Z",
    "title_canon_sha256": "923436e15e9b46956d3f8a9c08e0094755aea35f3bf2b948170d4f928f5f6870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04862",
    "kind": "arxiv",
    "version": 1
  }
}