Pith Number

pith:5O3AKQZB

pith:2016:5O3AKQZBMVJRAHZCSK45AHGJEE

not attested not anchored not stored refs pending

Large Time Decay Estimates for the Muskat Equation

Neel Patel, Robert M. Strain

arxiv:1610.05271 v2 · 2016-10-17 · 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{5O3AKQZBMVJRAHZCSK45AHGJEE}

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	2026-05-17T23:47:16.300117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb60543216553101f2292b9d01cc921251c09ac10168b77a7d32426775f5cf1

Aliases

arxiv: 1610.05271 · arxiv_version: 1610.05271v2 · doi: 10.48550/arxiv.1610.05271 · pith_short_12: 5O3AKQZBMVJR · pith_short_16: 5O3AKQZBMVJRAHZC · pith_short_8: 5O3AKQZB

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/5O3AKQZBMVJRAHZCSK45AHGJEE \
  | 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: ebb60543216553101f2292b9d01cc921251c09ac10168b77a7d32426775f5cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4253b0ef3ec8e7d5a79eb1a028fdf49c87e01c1ee128f00d4624acd1b1b825d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-17T19:11:25Z",
    "title_canon_sha256": "90aedb6d15dccb143a97bf41f9a8777c0d31ecaa13df7ab5e4c4f30175aba9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05271",
    "kind": "arxiv",
    "version": 2
  }
}