Pith Number

pith:GFGFMZKW

pith:2013:GFGFMZKWROIU3HWJV2NZ5ODK24

not attested not anchored not stored refs pending

Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds

Ki-Ahm Lee, Soojung Kim

arxiv:1304.7351 v2 · 2013-04-27 · 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{GFGFMZKWROIU3HWJV2NZ5ODK24}

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	2026-05-18T02:52:04.234747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314c5665568b914d9ec9ae9b9eb86ad70755fbc9447760693cce5e8a33943775

Aliases

arxiv: 1304.7351 · arxiv_version: 1304.7351v2 · doi: 10.48550/arxiv.1304.7351 · pith_short_12: GFGFMZKWROIU · pith_short_16: GFGFMZKWROIU3HWJ · pith_short_8: GFGFMZKW

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/GFGFMZKWROIU3HWJV2NZ5ODK24 \
  | 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: 314c5665568b914d9ec9ae9b9eb86ad70755fbc9447760693cce5e8a33943775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2e0b35f11eecfa5aa056ba7646f9a5ad4dca17279602ec6dcbe4ca5d957999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-27T09:09:13Z",
    "title_canon_sha256": "ba009334fba35695b22bc688dcb1190a289f024c1f44529c26bac5dad04b48f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7351",
    "kind": "arxiv",
    "version": 2
  }
}