Pith Number

pith:OQF34OCW

pith:2011:OQF34OCWQD4J4GGR5K4HHOBHDQ

not attested not anchored not stored refs pending

Multiple steady states in a mathematical model for interactions between T cells and macrophages

Alan D. Rendall

arxiv:1107.5426 v1 · 2011-07-27 · q-bio.CB · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQF34OCWQD4J4GGR5K4HHOBHDQ}

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	2026-05-18T04:16:52.042125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740bbe385680f89e18d1eab873b8271c3bb7262b4ce587a1831c2acf0e24c1ad

Aliases

arxiv: 1107.5426 · arxiv_version: 1107.5426v1 · doi: 10.48550/arxiv.1107.5426 · pith_short_12: OQF34OCWQD4J · pith_short_16: OQF34OCWQD4J4GGR · pith_short_8: OQF34OCW

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/OQF34OCWQD4J4GGR5K4HHOBHDQ \
  | 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: 740bbe385680f89e18d1eab873b8271c3bb7262b4ce587a1831c2acf0e24c1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51cb1b1ace26d70326c80d6a2585c13da2c559a909215822365894fbfe4b319f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.CB",
    "submitted_at": "2011-07-27T09:51:26Z",
    "title_canon_sha256": "5dc230279f9e750ae011489f7aebbe7069db124842cc47ffb26179da141aeb70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5426",
    "kind": "arxiv",
    "version": 1
  }
}