Pith Number

pith:O6B2ZWBO

pith:2011:O6B2ZWBOOBQ7KNKP2LO2OEVNWK

not attested not anchored not stored refs pending

Simplifying the Jacobian Criterion for precluding multistationarity in chemical reaction networks

Anne Shiu, Badal Joshi

arxiv:1106.1578 v2 · 2011-06-08 · math.DS · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6B2ZWBOOBQ7KNKP2LO2OEVNWK}

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	2026-05-18T04:02:25.187748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7783acd82e7061f5354fd2dda712adb293e16dfac3c00d3403862764db76cbcc

Aliases

arxiv: 1106.1578 · arxiv_version: 1106.1578v2 · doi: 10.48550/arxiv.1106.1578 · pith_short_12: O6B2ZWBOOBQ7 · pith_short_16: O6B2ZWBOOBQ7KNKP · pith_short_8: O6B2ZWBO

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/O6B2ZWBOOBQ7KNKP2LO2OEVNWK \
  | 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: 7783acd82e7061f5354fd2dda712adb293e16dfac3c00d3403862764db76cbcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565225824552ee9b38541d94ed05b13e597457cd9e82415f133da4126f90cea6",
    "cross_cats_sorted": [
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-08T15:04:17Z",
    "title_canon_sha256": "521edc7dce5ea0634d1c2727776e0e5b2af4f29d7c31ef7dd1a6bf85f23dc41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1578",
    "kind": "arxiv",
    "version": 2
  }
}