Pith Number

pith:4JWSDNMZ

pith:2025:4JWSDNMZ64Y7TCOEUFEY2S26NH

not attested not anchored not stored refs pending

From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation

Aldric Labarthe, Yann Kerzreho

arxiv:2507.01985 v3 · 2025-06-27 · q-fin.MF · econ.TH · math.DG · math.PR · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JWSDNMZ64Y7TCOEUFEY2S26NH}

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	2026-05-21T01:05:06.460138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26d21b599f731f989c4a1498d4b5e69c9f4639566a86c1fbef1f52254812baa

Aliases

arxiv: 2507.01985 · arxiv_version: 2507.01985v3 · doi: 10.48550/arxiv.2507.01985 · pith_short_12: 4JWSDNMZ64Y7 · pith_short_16: 4JWSDNMZ64Y7TCOE · pith_short_8: 4JWSDNMZ

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/4JWSDNMZ64Y7TCOEUFEY2S26NH \
  | 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: e26d21b599f731f989c4a1498d4b5e69c9f4639566a86c1fbef1f52254812baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e297721aca5dda659411882131eeed0f1dca734adb8ef6c24c752e1ef2b4b5c",
    "cross_cats_sorted": [
      "econ.TH",
      "math.DG",
      "math.PR",
      "q-fin.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2025-06-27T13:04:08Z",
    "title_canon_sha256": "edc59112de8777a54bff42bddb1fba8ec09061af6df3655924dd14459ba57371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01985",
    "kind": "arxiv",
    "version": 3
  }
}