Pith Number

pith:W45DP2RO

pith:2016:W45DP2ROZULGIK52GVCGSO3A2S

not attested not anchored not stored refs pending

A "Rule of Five" Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning

Carrie Diaz Eaton, Glenn Ledder, Hannah C. Highlander, Kam D. Dahlquist, M. Drew Lamar, Richard C. Schugart

arxiv:1607.02165 v2 · 2016-06-28 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W45DP2ROZULGIK52GVCGSO3A2S}

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	2026-05-17T23:51:23.699243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73a37ea2ecd16642bba3544693b60d49827500a56a6d4b8e7e161b8d2ec8cae

Aliases

arxiv: 1607.02165 · arxiv_version: 1607.02165v2 · doi: 10.48550/arxiv.1607.02165 · pith_short_12: W45DP2ROZULG · pith_short_16: W45DP2ROZULGIK52 · pith_short_8: W45DP2RO

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/W45DP2ROZULGIK52GVCGSO3A2S \
  | 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: b73a37ea2ecd16642bba3544693b60d49827500a56a6d4b8e7e161b8d2ec8cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb270124cc740951a756f817c25016d5a1df99a99dffb998221d1fb2d4174c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-06-28T14:08:44Z",
    "title_canon_sha256": "2718f45efe03ee674803cd3a7bbe818f8b7657dbfd20e26e3be75fab19839ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02165",
    "kind": "arxiv",
    "version": 2
  }
}