Pith Number

pith:Q7B73DF4

pith:2016:Q7B73DF4TEJJSFMXAFY46C7ZWU

not attested not anchored not stored refs pending

A numerical framework for computing steady states of size-structured population models and their stability

David M. Bortz, Inom Mirzaev

arxiv:1602.07033 v1 · 2016-02-23 · math.AP · math.NA · 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{Q7B73DF4TEJJSFMXAFY46C7ZWU}

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	2026-05-18T01:20:07.402514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c3fd8cbc99129915970171cf0bf9b50a74d17a91cf88a805b84ebf066876ab

Aliases

arxiv: 1602.07033 · arxiv_version: 1602.07033v1 · doi: 10.48550/arxiv.1602.07033 · pith_short_12: Q7B73DF4TEJJ · pith_short_16: Q7B73DF4TEJJSFMX · pith_short_8: Q7B73DF4

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/Q7B73DF4TEJJSFMXAFY46C7ZWU \
  | 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: 87c3fd8cbc99129915970171cf0bf9b50a74d17a91cf88a805b84ebf066876ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695f301cb5f1ef667ff9d9950ff99befd1ca63b6c25856bbc34e928952ff2b14",
    "cross_cats_sorted": [
      "math.NA",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-23T04:37:18Z",
    "title_canon_sha256": "eca46601fded0216189de4015edc2f6fcd8428d5f12f9d510341865403dd4ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07033",
    "kind": "arxiv",
    "version": 1
  }
}