Pith Number

pith:32IYG3C5

pith:2016:32IYG3C5MFNUEM3XMS6KXJSLQ7

not attested not anchored not stored refs pending

Global solutions to the Porous medium equations on singular manifolds

Yuanzhen Shao

arxiv:1606.01233 v2 · 2016-06-03 · 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{32IYG3C5MFNUEM3XMS6KXJSLQ7}

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	2026-05-18T01:08:16.739120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de91836c5d615b42337764bcaba64b87f6bf731649763dfd78e6abf2dcd5148a

Aliases

arxiv: 1606.01233 · arxiv_version: 1606.01233v2 · doi: 10.48550/arxiv.1606.01233 · pith_short_12: 32IYG3C5MFNU · pith_short_16: 32IYG3C5MFNUEM3X · pith_short_8: 32IYG3C5

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/32IYG3C5MFNUEM3XMS6KXJSLQ7 \
  | 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: de91836c5d615b42337764bcaba64b87f6bf731649763dfd78e6abf2dcd5148a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae245f6cdb47b1b7b51c8c68ae5c89175c0137b76ab7cb7c05d124f3f589065f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-03T19:49:28Z",
    "title_canon_sha256": "685f82c14fe89fd63d2340a7fc4186dac2075bd52a1e9a233a63fdc953ace7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01233",
    "kind": "arxiv",
    "version": 2
  }
}