Pith Number

pith:XDJZ2D26

pith:2020:XDJZ2D26SFMEM7SLQCCF6TYJEL

not attested not anchored not stored refs pending

Asymptotics for two-dimensional vectorial Allen-Cahn systems

Fabrice Bethuel

arxiv:2003.10189 v1 · 2020-03-23 · 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{XDJZ2D26SFMEM7SLQCCF6TYJEL}

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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

1 paper in Pith

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics

Receipt and verification

First computed	2026-07-05T00:49:50.524521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d39d0f5e9158467e4b80845f4f0922cf3e7e1b4e409cc02c629a6330a7f27d

Aliases

arxiv: 2003.10189 · arxiv_version: 2003.10189v1 · doi: 10.48550/arxiv.2003.10189 · pith_short_12: XDJZ2D26SFME · pith_short_16: XDJZ2D26SFMEM7SL · pith_short_8: XDJZ2D26

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/XDJZ2D26SFMEM7SLQCCF6TYJEL \
  | 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: b8d39d0f5e9158467e4b80845f4f0922cf3e7e1b4e409cc02c629a6330a7f27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994954db6ede8ccbbcb77c44e81fe2a3263f32baec1497f4e045db3ad14c3ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-23T11:33:04Z",
    "title_canon_sha256": "8ed87656b361d24a137b011dbcf747ca4f2638e4bf89ea48e188353699f8eb7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.10189",
    "kind": "arxiv",
    "version": 1
  }
}