Pith Number

pith:6UGSFIRU

pith:2026:6UGSFIRUKHQEJYHHFOGMS7I4NM

not attested not anchored not stored refs pending

Hash Chemistry: Minimal Models for Evolutionary Growth of Complexity

Hiroki Sayama, Ilya Horiguchi

arxiv:2607.28219 v1 · 2026-07-30 · q-bio.PE · cs.NE · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UGSFIRUKHQEJYHHFOGMS7I4NM}

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	2026-07-31T01:36:31.944921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f50d22a23451e044e0e72b8cc97d1c6b3bb8aafee4d7284794e9ee31b93bffb2

Aliases

arxiv: 2607.28219 · arxiv_version: 2607.28219v1 · doi: 10.48550/arxiv.2607.28219 · pith_short_12: 6UGSFIRUKHQE · pith_short_16: 6UGSFIRUKHQEJYHH · pith_short_8: 6UGSFIRU

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/6UGSFIRUKHQEJYHHFOGMS7I4NM \
  | 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: f50d22a23451e044e0e72b8cc97d1c6b3bb8aafee4d7284794e9ee31b93bffb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4c0a3f69300ebb4c27b251da5d404fbffddb7786aab49900d0e7ddaeb272a0",
    "cross_cats_sorted": [
      "cs.NE",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-07-30T13:54:23Z",
    "title_canon_sha256": "c9254ad053305253449dac8f3500c3b4ea13cd7cc8e675957ff97efb5cf67cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28219",
    "kind": "arxiv",
    "version": 1
  }
}