Pith Number

pith:R5YIPNMW

pith:2019:R5YIPNMWQS64DP642SY2V5P6J6

not attested not anchored not stored refs pending

Injectivity and the Law of Demand

Roy Allen

arxiv:1908.05714 v1 · 2019-08-15 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5YIPNMWQS64DP642SY2V5P6J6}

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	2026-07-04T23:57:52.570432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7087b59684bdc1bfdcd4b1aaf5fe4f8c049d69caf5f6cf815b8a93cfbd9c7c

Aliases

arxiv: 1908.05714 · arxiv_version: 1908.05714v1 · doi: 10.48550/arxiv.1908.05714 · pith_short_12: R5YIPNMWQS64 · pith_short_16: R5YIPNMWQS64DP64 · pith_short_8: R5YIPNMW

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/R5YIPNMWQS64DP642SY2V5P6J6 \
  | 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: 8f7087b59684bdc1bfdcd4b1aaf5fe4f8c049d69caf5f6cf815b8a93cfbd9c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70347eb2f0c59e9dcbcfd002ebcfdf770cb46c224bbef4c8c3c9a4e79396ca8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2019-08-15T19:13:43Z",
    "title_canon_sha256": "ad6250b89631c836ae25df388b0ad39f61553cb5466725282222f8118dd11e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05714",
    "kind": "arxiv",
    "version": 1
  }
}