Pith Number

pith:6BIWOUSX

pith:2011:6BIWOUSXWMO2ACIOAUA4KBCZNZ

not attested not anchored not stored refs pending

Gradient estimates for the porous medium equations on Riemannian manifolds

Guangyue Huang, Haizhong Li, Zhijie Huang

arxiv:1106.2373 v1 · 2011-06-13 · 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{6BIWOUSXWMO2ACIOAUA4KBCZNZ}

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	2026-05-18T04:20:05.891711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f051675257b31da0090e0501c504596e5a03d8deec386b6319640cf8ef5304e3

Aliases

arxiv: 1106.2373 · arxiv_version: 1106.2373v1 · doi: 10.48550/arxiv.1106.2373 · pith_short_12: 6BIWOUSXWMO2 · pith_short_16: 6BIWOUSXWMO2ACIO · pith_short_8: 6BIWOUSX

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/6BIWOUSXWMO2ACIOAUA4KBCZNZ \
  | 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: f051675257b31da0090e0501c504596e5a03d8deec386b6319640cf8ef5304e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0129f6f0a087bfb8d0a9ce7a0dbd0b62d5fd8d1ef982ed655e5917dc2dc3a717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-13T02:25:05Z",
    "title_canon_sha256": "884c88f832fe8e432ac991ca9c9b02f5879d7051c60a781de5eb12a3bb9155af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2373",
    "kind": "arxiv",
    "version": 1
  }
}