Pith Number

pith:PM6LBEAO

pith:2017:PM6LBEAOGJ4YSTNNEG3ZZXV6PK

not attested not anchored not stored refs pending

Turing-Hopf bifurcation and spatio-temporal patterns of a ratio-dependent Holling-Tanner system with diffusion

Qi An, Weihua Jiang

arxiv:1711.02787 v1 · 2017-11-08 · 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{PM6LBEAOGJ4YSTNNEG3ZZXV6PK}

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	2026-05-18T00:05:00.134898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b3cb0900e3279894dad21b79cdebe7ab08b2b25279381f03b7ad8379f11b42a

Aliases

arxiv: 1711.02787 · arxiv_version: 1711.02787v1 · doi: 10.48550/arxiv.1711.02787 · pith_short_12: PM6LBEAOGJ4Y · pith_short_16: PM6LBEAOGJ4YSTNN · pith_short_8: PM6LBEAO

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/PM6LBEAOGJ4YSTNNEG3ZZXV6PK \
  | 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: 7b3cb0900e3279894dad21b79cdebe7ab08b2b25279381f03b7ad8379f11b42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86763470e0ccaa625845d666af1737105303522827cb675cb5f934dcd78458b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-08T01:18:05Z",
    "title_canon_sha256": "dca2c15907addcfab1fe24d0635e1caa94f2331a14dd375a0088a484b582f499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02787",
    "kind": "arxiv",
    "version": 1
  }
}