Pith Number

pith:OP2DAMQJ

pith:2014:OP2DAMQJCE5V6CUQFY3KJOVRMG

not attested not anchored not stored refs pending

Existence and Uniqueness of Solution of a Continuous Flow Bioreactor Model with Two Species

A.M Ramos, B. Ivorra, M. Crespo

arxiv:1410.4681 v2 · 2014-10-17 · 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{OP2DAMQJCE5V6CUQFY3KJOVRMG}

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	2026-05-18T01:37:28.616539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f4303209113b5f0a902e36a4bab161a5d2d230dde0f3284fa0a5fad7c6ede8

Aliases

arxiv: 1410.4681 · arxiv_version: 1410.4681v2 · doi: 10.48550/arxiv.1410.4681 · pith_short_12: OP2DAMQJCE5V · pith_short_16: OP2DAMQJCE5V6CUQ · pith_short_8: OP2DAMQJ

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/OP2DAMQJCE5V6CUQFY3KJOVRMG \
  | 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: 73f4303209113b5f0a902e36a4bab161a5d2d230dde0f3284fa0a5fad7c6ede8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341dce9ff95918f90d5f4f4a06c64c6105e9f9e518a3ea7fb5b0b97b031565c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-17T10:26:28Z",
    "title_canon_sha256": "182d583c52d1c9221f52e013743b9480d6e9fc4d6793a193067515a8a35cc65f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4681",
    "kind": "arxiv",
    "version": 2
  }
}