Pith Number

pith:MK5HN4VT

pith:2019:MK5HN4VTE3OFME54U44VUUWPKV

not attested not anchored not stored refs pending

Large Time Behavior of Exchange-driven Growth

Emre Esenturk, Juan Velazquez

arxiv:1904.11804 v1 · 2019-04-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MK5HN4VTE3OFME54U44VUUWPKV}

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	2026-05-17T23:47:40.886502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ba76f2b326dc5613bca7395a52cf557e4532436699c31a5f1def49f36f4f04

Aliases

arxiv: 1904.11804 · arxiv_version: 1904.11804v1 · doi: 10.48550/arxiv.1904.11804 · pith_short_12: MK5HN4VTE3OF · pith_short_16: MK5HN4VTE3OFME54 · pith_short_8: MK5HN4VT

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/MK5HN4VTE3OFME54U44VUUWPKV \
  | 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: 62ba76f2b326dc5613bca7395a52cf557e4532436699c31a5f1def49f36f4f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94dd92901795ea155da12cce5d33a2783eb65ce7852d5f5eb66a6a3a5bc43683",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-20T02:38:17Z",
    "title_canon_sha256": "1ac11efde53dd71a10a76062d4c6abf9af78240c32a12150ce55942dc35bf03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11804",
    "kind": "arxiv",
    "version": 1
  }
}