Pith Number

pith:5AX462SJ

pith:2011:5AX462SJJFGALEMUAPRD4BDU5Y

not attested not anchored not stored refs pending

Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders

C. B. Muratov, M. Novaga, P. V. Gordon

arxiv:1109.2194 v1 · 2011-09-10 · math.AP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AX462SJJFGALEMUAPRD4BDU5Y}

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	2026-05-18T03:12:46.672395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82fcf6a49494c05919403e23e0474ee3710cfb08c52be42997071f99043d251

Aliases

arxiv: 1109.2194 · arxiv_version: 1109.2194v1 · doi: 10.48550/arxiv.1109.2194 · pith_short_12: 5AX462SJJFGA · pith_short_16: 5AX462SJJFGALEMU · pith_short_8: 5AX462SJ

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/5AX462SJJFGALEMUAPRD4BDU5Y \
  | 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: e82fcf6a49494c05919403e23e0474ee3710cfb08c52be42997071f99043d251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57231f3eea05b423b8c326a6d89e4b25f90e6e81ec1dafe23ce61c8d0c1e2fa7",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-10T04:49:44Z",
    "title_canon_sha256": "3826f83d2d38b29d4445e3ebb52f12a3fb0ff7bebe9ecee786500fd02cd4a3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2194",
    "kind": "arxiv",
    "version": 1
  }
}