Pith Number

pith:4TB24GT2

pith:2015:4TB24GT23VYBLGHRHV6PVC5ZIX

not attested not anchored not stored refs pending

Algebraic Error Estimates for the Stochastic Homogenization of Uniformly Parabolic Equations

Charles K. Smart, Jessica Lin

arxiv:1501.03718 v2 · 2015-01-15 · 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{4TB24GT23VYBLGHRHV6PVC5ZIX}

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	2026-05-18T01:22:21.518120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c3ae1a7add701598f13d7cfa8bb945cd20b8755d82588687d6d7381f2a2537

Aliases

arxiv: 1501.03718 · arxiv_version: 1501.03718v2 · doi: 10.48550/arxiv.1501.03718 · pith_short_12: 4TB24GT23VYB · pith_short_16: 4TB24GT23VYBLGHR · pith_short_8: 4TB24GT2

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/4TB24GT23VYBLGHRHV6PVC5ZIX \
  | 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: e4c3ae1a7add701598f13d7cfa8bb945cd20b8755d82588687d6d7381f2a2537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33aa350d6b4126bc70eac281b411f25f49f65045c6c138d6142d4d2c20cc761f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-15T15:37:26Z",
    "title_canon_sha256": "e7c504fd8cad78e96ebabab310c743680baeee14a67c96e8db6a683d05c4cf34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03718",
    "kind": "arxiv",
    "version": 2
  }
}