Pith Number

pith:HMX7SMHI

pith:2016:HMX7SMHIDP5COLAHSQ6PXIDB4K

not attested not anchored not stored refs pending

Differential equations of electrodiffusion: constant field solutions, uniqueness, and new formulas of Goldman-Hodgkin-Katz type

A.J. Bracken, L. Bass

arxiv:1609.06427 v1 · 2016-09-21 · q-bio.QM · math-ph · math.CA · 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{HMX7SMHIDP5COLAHSQ6PXIDB4K}

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	2026-05-18T00:50:13.535077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2ff930e81bfa272c07943cfba061e28ee05744b1e96b40c49be3d0dd25e736

Aliases

arxiv: 1609.06427 · arxiv_version: 1609.06427v1 · doi: 10.48550/arxiv.1609.06427 · pith_short_12: HMX7SMHIDP5C · pith_short_16: HMX7SMHIDP5COLAH · pith_short_8: HMX7SMHI

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/HMX7SMHIDP5COLAHSQ6PXIDB4K \
  | 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: 3b2ff930e81bfa272c07943cfba061e28ee05744b1e96b40c49be3d0dd25e736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b90b7b92e8ccfff90233f52ab37c50844895c2f43e1628dab6c826f1fb3ff26",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2016-09-21T06:18:41Z",
    "title_canon_sha256": "228556a61336b4b466b24f812465467cfbc7500d0434f664818df5df4a8a610b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06427",
    "kind": "arxiv",
    "version": 1
  }
}