Pith Number

pith:5ZM3ZIJZ

pith:2012:5ZM3ZIJZECVZDBVKA3QCQ62FME

not attested not anchored not stored refs pending

Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case

Alexander Kiselev, Lenya Ryzhik

arxiv:1203.6634 v1 · 2012-03-29 · 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{5ZM3ZIJZECVZDBVKA3QCQ62FME}

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	2026-05-18T01:58:00.332503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee59bca13920ab9186aa06e0287b4561088f1ea9039b46d9585838eb7ef97d42

Aliases

arxiv: 1203.6634 · arxiv_version: 1203.6634v1 · doi: 10.48550/arxiv.1203.6634 · pith_short_12: 5ZM3ZIJZECVZ · pith_short_16: 5ZM3ZIJZECVZDBVK · pith_short_8: 5ZM3ZIJZ

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/5ZM3ZIJZECVZDBVKA3QCQ62FME \
  | 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: ee59bca13920ab9186aa06e0287b4561088f1ea9039b46d9585838eb7ef97d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2191fc96cdbdf3625fdca634d6be6e780632af16cae8dce55d7e4260075b6cfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-29T19:14:50Z",
    "title_canon_sha256": "87e3b37bd6ea502fed99a7bcf2ae146ca74f74399d60bd2bbc62aec518d2f0b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6634",
    "kind": "arxiv",
    "version": 1
  }
}