Pith Number

pith:GZD3RJPO

pith:2023:GZD3RJPOZXHUWNT6EG3XQ3LNN6

not attested not anchored not stored refs pending

A Schr\"odinger Equation for Evolutionary Dynamics

Duc M. Nguyen, Duy V. Tran, Huy D. Tran, Kien T. Pham, Trung V. Phan, Tuan K. Do, Van H. Do, Vi D. Ao

arxiv:2307.16044 v2 · 2023-07-29 · q-bio.PE · physics.bio-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{GZD3RJPOZXHUWNT6EG3XQ3LNN6}

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	2026-07-05T07:09:00.395202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3647b8a5eecdcf4b367e21b7786d6d6fb7752c04eb8e521feabee27cada9d489

Aliases

arxiv: 2307.16044 · arxiv_version: 2307.16044v2 · doi: 10.48550/arxiv.2307.16044 · pith_short_12: GZD3RJPOZXHU · pith_short_16: GZD3RJPOZXHUWNT6 · pith_short_8: GZD3RJPO

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/GZD3RJPOZXHUWNT6EG3XQ3LNN6 \
  | 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: 3647b8a5eecdcf4b367e21b7786d6d6fb7752c04eb8e521feabee27cada9d489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13612fac94412bb569b5d448462805ed643ab9c7d52bedf6ece0f1d397a4b74f",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2023-07-29T18:17:28Z",
    "title_canon_sha256": "13564b1e8ec46d6e3462fdf5cf06ae67a053455afce343c1d7efa0c3ab091b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.16044",
    "kind": "arxiv",
    "version": 2
  }
}