Pith Number

pith:TIKGPAJ4

pith:2016:TIKGPAJ4QS5PDSJM6TA7ZUKYN6

not attested not anchored not stored refs pending

Hopf Bifurcation in an Oscillatory-Excitatory Reaction-Diffusion Model with Spatial heterogeneity

B. Ambrosio

arxiv:1608.03967 v2 · 2016-08-13 · 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{TIKGPAJ4QS5PDSJM6TA7ZUKYN6}

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	2026-05-18T00:41:39.344487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1467813c84baf1c92cf4c1fcd1586fbc76cdd7fe2587b163c6ab83bc3f8dfd

Aliases

arxiv: 1608.03967 · arxiv_version: 1608.03967v2 · doi: 10.48550/arxiv.1608.03967 · pith_short_12: TIKGPAJ4QS5P · pith_short_16: TIKGPAJ4QS5PDSJM · pith_short_8: TIKGPAJ4

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/TIKGPAJ4QS5PDSJM6TA7ZUKYN6 \
  | 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: 9a1467813c84baf1c92cf4c1fcd1586fbc76cdd7fe2587b163c6ab83bc3f8dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e20f3f0fa8f18268bb14c6a592d526c59c2c42ecfbdcbb516ad4da4a44cfae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-13T10:29:32Z",
    "title_canon_sha256": "96425c5e9e77ae5fb9a1c691fcdc8f8bd81b93c6614703deb1739ebcb3e87bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03967",
    "kind": "arxiv",
    "version": 2
  }
}