Pith Number

pith:GJRIFU5E

pith:2012:GJRIFU5ER5LM3LGGDF6XTGKBAY

not attested not anchored not stored refs pending

Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media

Andrey Piatnitski, Andro Mikelic, Gregoire Allaire, Jean-Francois Dufreche

arxiv:1212.3720 v1 · 2012-12-15 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJRIFU5ER5LM3LGGDF6XTGKBAY}

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	2026-05-18T02:18:04.517780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326282d3a48f56cdacc6197d799941063dce8826dc361b4ba2936559dd919cdf

Aliases

arxiv: 1212.3720 · arxiv_version: 1212.3720v1 · doi: 10.48550/arxiv.1212.3720 · pith_short_12: GJRIFU5ER5LM · pith_short_16: GJRIFU5ER5LM3LGG · pith_short_8: GJRIFU5E

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/GJRIFU5ER5LM3LGGDF6XTGKBAY \
  | 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: 326282d3a48f56cdacc6197d799941063dce8826dc361b4ba2936559dd919cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28b5b579bfee70e0ab0015156f1d0deb7783356d308c6b65b92d12bb4df1eee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-15T20:11:49Z",
    "title_canon_sha256": "b6d1c7765c717fe13a1124ffcc60661ca4d3c03a1024555952cf271fab293fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3720",
    "kind": "arxiv",
    "version": 1
  }
}