Pith Number

pith:6BYFWUMX

pith:2024:6BYFWUMXUYF5XVEDITUZNMSYWC

not attested not anchored not stored refs pending

Existence and Non-existence for Exchange-Driven Growth Model

Ankik Kumar Giri, Saroj Si

arxiv:2411.14083 v1 · 2024-11-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BYFWUMXUYF5XVEDITUZNMSYWC}

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	2026-07-05T09:38:41.433532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0705b5197a60bdbd48344e996b258b0bd2be041ae109c93714460cfabfe9a08

Aliases

arxiv: 2411.14083 · arxiv_version: 2411.14083v1 · doi: 10.48550/arxiv.2411.14083 · pith_short_12: 6BYFWUMXUYF5 · pith_short_16: 6BYFWUMXUYF5XVED · pith_short_8: 6BYFWUMX

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/6BYFWUMXUYF5XVEDITUZNMSYWC \
  | 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: f0705b5197a60bdbd48344e996b258b0bd2be041ae109c93714460cfabfe9a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19a1549dead02c747da7493e8316a49dacd50d3a75837c492f7b89d86390d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-21T12:47:47Z",
    "title_canon_sha256": "cdeac7d2c9de53ff73a7c8f603cea5030dcd50a6680fc568265617ff888ddec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14083",
    "kind": "arxiv",
    "version": 1
  }
}