Pith Number

pith:HFFUDQXN

pith:2019:HFFUDQXN5SDN6ARY3JLXXF6YRO

not attested not anchored not stored refs pending

A hidden integral structure endows Absolute Concentration Robust systems with resilience to dynamical concentration disturbances

Ankit Gupta, Daniele Cappelletti, Mustafa Khammash

arxiv:1910.05531 v1 · 2019-10-12 · q-bio.SC · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFFUDQXN5SDN6ARY3JLXXF6YRO}

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	2026-07-05T00:11:39.557238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394b41c2edec86df0238da577b97d88ba38a9c00a4cf2435f1fa35d017311cfc

Aliases

arxiv: 1910.05531 · arxiv_version: 1910.05531v1 · doi: 10.48550/arxiv.1910.05531 · pith_short_12: HFFUDQXN5SDN · pith_short_16: HFFUDQXN5SDN6ARY · pith_short_8: HFFUDQXN

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/HFFUDQXN5SDN6ARY3JLXXF6YRO \
  | 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: 394b41c2edec86df0238da577b97d88ba38a9c00a4cf2435f1fa35d017311cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b724243d39992e3da87a80d5748978770bc5b80f547129c30dbe6d6a21f5ab13",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.SC",
    "submitted_at": "2019-10-12T08:37:50Z",
    "title_canon_sha256": "10d59faf7ac37eeafb5fe35bcbfa6fe8015f2f037ff5d6667b8acc56c84b8259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.05531",
    "kind": "arxiv",
    "version": 1
  }
}