Pith Number

pith:VRSDTLDI

pith:2015:VRSDTLDI3LEY7J2N5Z4BUYQ4L3

not attested not anchored not stored refs pending

Exact travelling wave solutions of non-linear reaction-convection-diffusion equations -- an Abel equation based approach

M. K. Mak, T. Harko

arxiv:1510.08163 v1 · 2015-10-28 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRSDTLDI3LEY7J2N5Z4BUYQ4L3}

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	2026-05-18T01:25:56.355093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6439ac68dac98fa74dee781a621c5ecfe7f961f347473e4ef4edf6759976f2

Aliases

arxiv: 1510.08163 · arxiv_version: 1510.08163v1 · doi: 10.48550/arxiv.1510.08163 · pith_short_12: VRSDTLDI3LEY · pith_short_16: VRSDTLDI3LEY7J2N · pith_short_8: VRSDTLDI

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/VRSDTLDI3LEY7J2N5Z4BUYQ4L3 \
  | 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: ac6439ac68dac98fa74dee781a621c5ecfe7f961f347473e4ef4edf6759976f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ccfff75399fd5206cdf8afc4ba2fa86f173c303c45d56b369038865af352339",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-28T02:04:10Z",
    "title_canon_sha256": "c550ead667db0d24fd9e8ceb301ef3f9610b724f0541379815ca0706ff5f4122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08163",
    "kind": "arxiv",
    "version": 1
  }
}