Pith Number

pith:LGOTMXQ2

pith:2016:LGOTMXQ2GSKB746VR4C2SQ7BG2

not attested not anchored not stored refs pending

Emergence of Function

Indika Rajapakse, Steve Smale

arxiv:1610.04224 v1 · 2016-10-12 · q-bio.OT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGOTMXQ2GSKB746VR4C2SQ7BG2}

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	2026-05-18T01:02:20.270659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599d365e1a34941ff3d58f05a943e136bee6428315eac47ccd2d61e26a262526

Aliases

arxiv: 1610.04224 · arxiv_version: 1610.04224v1 · doi: 10.48550/arxiv.1610.04224 · pith_short_12: LGOTMXQ2GSKB · pith_short_16: LGOTMXQ2GSKB746V · pith_short_8: LGOTMXQ2

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/LGOTMXQ2GSKB746VR4C2SQ7BG2 \
  | 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: 599d365e1a34941ff3d58f05a943e136bee6428315eac47ccd2d61e26a262526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819ba8d3ae53f88a0a2a98ec290fada5a1672974274af1c96eef18ee4c7a29a5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.OT",
    "submitted_at": "2016-10-12T23:56:21Z",
    "title_canon_sha256": "001d74aa7859e2f83a9f297a20ab50304e1e87f97d6deff08f27016cae6c8aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04224",
    "kind": "arxiv",
    "version": 1
  }
}