Pith Number

pith:F3FQR3ER

pith:2008:F3FQR3ERJ2EHQ7TZFTHE2YZ6HA

not attested not anchored not stored refs pending

On differences between fractional and integer order differential equations for dynamical games

A. S. Elgazzar, E. Ahmed, M. I. Shehata

arxiv:0801.1560 v1 · 2008-01-10 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3FQR3ERJ2EHQ7TZFTHE2YZ6HA}

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	2026-05-18T02:16:02.084269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecb08ec914e88787e792cce4d633e383e548a10b6a7432e0fb6f40304b5c1d4

Aliases

arxiv: 0801.1560 · arxiv_version: 0801.1560v1 · doi: 10.48550/arxiv.0801.1560 · pith_short_12: F3FQR3ERJ2EH · pith_short_16: F3FQR3ERJ2EHQ7TZ · pith_short_8: F3FQR3ER

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/F3FQR3ERJ2EHQ7TZFTHE2YZ6HA \
  | 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: 2ecb08ec914e88787e792cce4d633e383e548a10b6a7432e0fb6f40304b5c1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1516467b4ff33f931828e2b03aeae5ab17a9ac29500cb4a9dcb83bca340aeee8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2008-01-10T08:27:29Z",
    "title_canon_sha256": "0effd41c6df51af4887ae03ce429f8877b439be7074b935239cd6dfe9b1913d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1560",
    "kind": "arxiv",
    "version": 1
  }
}