Pith Number

pith:AXP2QN22

pith:2013:AXP2QN227HQPGD5LC3XVQD6B7C

not attested not anchored not stored refs pending

Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling

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

arxiv:1309.3679 v2 · 2013-09-14 · math.AP · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXP2QN227HQPGD5LC3XVQD6B7C}

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	2026-05-18T02:40:18.664988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05dfa8375af9e0f30fab16ef580fc1f8ab2f87a51977a9087d9e2fb593b66b22

Aliases

arxiv: 1309.3679 · arxiv_version: 1309.3679v2 · doi: 10.48550/arxiv.1309.3679 · pith_short_12: AXP2QN227HQP · pith_short_16: AXP2QN227HQPGD5L · pith_short_8: AXP2QN22

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/AXP2QN227HQPGD5LC3XVQD6B7C \
  | 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: 05dfa8375af9e0f30fab16ef580fc1f8ab2f87a51977a9087d9e2fb593b66b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "109c9116408208da97293fd2c36577eeb4563251f632a58c35d19ab36b54a5b4",
    "cross_cats_sorted": [
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-14T15:28:36Z",
    "title_canon_sha256": "10644f9e25572dfe85385725841047c24cf72d2c95d9786180c32da5feca71b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3679",
    "kind": "arxiv",
    "version": 2
  }
}