Pith Number

pith:4MJEOUJC

pith:2017:4MJEOUJCF43Z6BTEVR7RDBSPQB

not attested not anchored not stored refs pending

Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian

Juan Luis V\'azquez

arxiv:1706.10034 v3 · 2017-06-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MJEOUJCF43Z6BTEVR7RDBSPQB}

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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.

Cited by

2 papers in Pith

Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space

Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space

Receipt and verification

First computed	2026-05-18T00:00:09.180097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3124751222f379f0664ac7f11864f807235a7fe0c5a5a3936c22a9def1eea6e

Aliases

arxiv: 1706.10034 · arxiv_version: 1706.10034v3 · doi: 10.48550/arxiv.1706.10034 · pith_short_12: 4MJEOUJCF43Z · pith_short_16: 4MJEOUJCF43Z6BTE · pith_short_8: 4MJEOUJC

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/4MJEOUJCF43Z6BTEVR7RDBSPQB \
  | 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: e3124751222f379f0664ac7f11864f807235a7fe0c5a5a3936c22a9def1eea6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9618fe885acd10dabcd6f9fee0dff55a13f7e4a7b50e1f7777a17e7309ec099b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-30T06:29:12Z",
    "title_canon_sha256": "db86f6971ebb974357780a2c95fada74e509add8f4a49f86fddc0c923f2cca7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10034",
    "kind": "arxiv",
    "version": 3
  }
}