Pith Number

pith:F3PPGFIT

pith:2015:F3PPGFITU6LXZT2XS6TJ4KXTSL

not attested not anchored not stored refs pending

A note on stability shifting for the Muskat problem II: Stable to Unstable and back to Stable

Andrej Zlato\v{s}, Diego C\'ordoba, Javier G\'omez-Serrano

arxiv:1512.02564 v1 · 2015-12-08 · 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{F3PPGFITU6LXZT2XS6TJ4KXTSL}

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	2026-05-18T00:49:19.304558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edef31513a7977ccf5797a69e2af392c182650a2225ad442d1b5b9f64ea2e6e

Aliases

arxiv: 1512.02564 · arxiv_version: 1512.02564v1 · doi: 10.48550/arxiv.1512.02564 · pith_short_12: F3PPGFITU6LX · pith_short_16: F3PPGFITU6LXZT2X · pith_short_8: F3PPGFIT

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/F3PPGFITU6LXZT2XS6TJ4KXTSL \
  | 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: 2edef31513a7977ccf5797a69e2af392c182650a2225ad442d1b5b9f64ea2e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d45fb7b446aead5764ec203411665d3e749999e6a27c23ffb010fe4f482aed7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-08T17:51:56Z",
    "title_canon_sha256": "4c2610dc67d25b6094f0cd8b9526908af0fbc2385ad4abad197704746451de32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02564",
    "kind": "arxiv",
    "version": 1
  }
}