Pith Number

pith:XHNJUYOS

pith:2012:XHNJUYOSXO2VA6YJGJJ5NL5LNR

not attested not anchored not stored refs pending

Gradient flow structures for discrete porous medium equations

Jan Maas, Matthias Erbar

arxiv:1212.1129 v1 · 2012-12-05 · math.FA · math.CA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHNJUYOSXO2VA6YJGJJ5NL5LNR}

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	2026-05-18T03:39:05.764426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9da9a61d2bbb5507b093253d6afab6c7bd0be6f7d8022f6998130cd2498f2e1

Aliases

arxiv: 1212.1129 · arxiv_version: 1212.1129v1 · doi: 10.48550/arxiv.1212.1129 · pith_short_12: XHNJUYOSXO2V · pith_short_16: XHNJUYOSXO2VA6YJ · pith_short_8: XHNJUYOS

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/XHNJUYOSXO2VA6YJGJJ5NL5LNR \
  | 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: b9da9a61d2bbb5507b093253d6afab6c7bd0be6f7d8022f6998130cd2498f2e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f866ab8e9bd826c0628021c9bc551cd186f347f7b6ad2275f6d53c4fd4727362",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-05T18:55:54Z",
    "title_canon_sha256": "97ce520aaefec80c8a1ce1594cd9aabc5574a7cf9da695ab261b920e53c887b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1129",
    "kind": "arxiv",
    "version": 1
  }
}