Pith Number

pith:Z2VI33HH

pith:2016:Z2VI33HH2KETFYWD3INCKZC3VT

not attested not anchored not stored refs pending

Macroscopic limits of pathway-based kinetic models for E.coli chemotaxis in large gradient environments

Min Tang, Weiran Sun

arxiv:1605.01484 v1 · 2016-05-05 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2VI33HH2KETFYWD3INCKZC3VT}

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	2026-05-18T01:15:33.551328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceaa8dece7d28932e2c3da1a25645bace16dfd6d2fc62d6521c1a46e9386732f

Aliases

arxiv: 1605.01484 · arxiv_version: 1605.01484v1 · doi: 10.48550/arxiv.1605.01484 · pith_short_12: Z2VI33HH2KET · pith_short_16: Z2VI33HH2KETFYWD · pith_short_8: Z2VI33HH

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/Z2VI33HH2KETFYWD3INCKZC3VT \
  | 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: ceaa8dece7d28932e2c3da1a25645bace16dfd6d2fc62d6521c1a46e9386732f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a854ce849be97d09da41429421269cb4f68f8fc84bb9ca800bce4f1299216acc",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-05T03:54:35Z",
    "title_canon_sha256": "97d4c8c666bb1c3b6f19921d3197eb14685598fedcc50fc24fd117fd45919765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01484",
    "kind": "arxiv",
    "version": 1
  }
}