Pith Number

pith:CFU2I2KT

pith:2012:CFU2I2KTMX2FWIVC54U7S5QJ6D

not attested not anchored not stored refs pending

Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian

Guangyue Huang, Haizhong Li

arxiv:1203.5482 v1 · 2012-03-25 · 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{CFU2I2KTMX2FWIVC54U7S5QJ6D}

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	2026-05-18T03:59:14.944347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1169a4695365f45b22a2ef29f97609f0c9bfe05253a60774d1cdf9f7c54af3e3

Aliases

arxiv: 1203.5482 · arxiv_version: 1203.5482v1 · doi: 10.48550/arxiv.1203.5482 · pith_short_12: CFU2I2KTMX2F · pith_short_16: CFU2I2KTMX2FWIVC · pith_short_8: CFU2I2KT

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/CFU2I2KTMX2FWIVC54U7S5QJ6D \
  | 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: 1169a4695365f45b22a2ef29f97609f0c9bfe05253a60774d1cdf9f7c54af3e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3951c1b0dadc30f13da23fa12d9c913f9b0e3c3f2ef0df651db989e9780540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-25T09:59:46Z",
    "title_canon_sha256": "3e0ad0f0a4b108e07d4776fefd76164ec4fda952859e890ed365a6ea6e6835ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5482",
    "kind": "arxiv",
    "version": 1
  }
}