Pith Number

pith:6CJ4S6JE

pith:2019:6CJ4S6JEFWNPCX7HEGGLHR67A3

not attested not anchored not stored refs pending

Differential Harnack inequalities via Concavity of the arrival time

Mat Langford, Theodora Bourni

arxiv:1912.06623 v2 · 2019-12-13 · 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{6CJ4S6JEFWNPCX7HEGGLHR67A3}

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	2026-07-05T02:27:54.017612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f093c979242d9af15fe7218cb3c7df06db4a92f0ff35a7dd6efa0da50a630447

Aliases

arxiv: 1912.06623 · arxiv_version: 1912.06623v2 · doi: 10.48550/arxiv.1912.06623 · pith_short_12: 6CJ4S6JEFWNP · pith_short_16: 6CJ4S6JEFWNPCX7H · pith_short_8: 6CJ4S6JE

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/6CJ4S6JEFWNPCX7HEGGLHR67A3 \
  | 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: f093c979242d9af15fe7218cb3c7df06db4a92f0ff35a7dd6efa0da50a630447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1775242146a2d48b10faee631cf58b8c2d861be1363c99992fec0161c5fd22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-12-13T17:35:34Z",
    "title_canon_sha256": "d93fe01f1b631163d9a2db2bd2523afcd8d542a088c7141b53b9df7ea2747f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06623",
    "kind": "arxiv",
    "version": 2
  }
}