Pith Number

pith:J5BK654K

pith:2026:J5BK654KOFKHVZEJO266RYCSBK

not attested not anchored not stored refs pending

Bifurcation mechanism at a sustain point of a long narrow economy

Hiroki Aizawa, Jos\'e M. Gaspar, Kyiohiro Ikeda

arxiv:2607.10204 v1 · 2026-07-11 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5BK654KOFKHVZEJO266RYCSBK}

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	2026-07-14T01:20:30.564239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f42af778a71547ae48976bde8e0520a9da8843b6f375c4985efb8c66331ba41

Aliases

arxiv: 2607.10204 · arxiv_version: 2607.10204v1 · doi: 10.48550/arxiv.2607.10204 · pith_short_12: J5BK654KOFKH · pith_short_16: J5BK654KOFKHVZEJ · pith_short_8: J5BK654K

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/J5BK654KOFKHVZEJO266RYCSBK \
  | 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: 4f42af778a71547ae48976bde8e0520a9da8843b6f375c4985efb8c66331ba41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b89c2d141bef971cd8d4895a289d0e9e8ae54763076de0fef355c3bfbcc02f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-07-11T08:29:42Z",
    "title_canon_sha256": "640ea152af86785f39df944e6aba21c84c03bac4b9182610a91faa43e8d1c1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10204",
    "kind": "arxiv",
    "version": 1
  }
}