Pith Number

pith:YURTEVHM

pith:2015:YURTEVHMGC27WXM64BV4BLUBR3

not attested not anchored not stored refs pending

Two-end solutions to the Allen-Cahn equation in $\mathbb{R}^{3}$

Changfeng Gui, Juncheng Wei, Yong Liu

arxiv:1502.05963 v1 · 2015-02-20 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YURTEVHMGC27WXM64BV4BLUBR3}

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	2026-05-18T02:26:44.457170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5233254ec30b5fb5d9ee06bc0ae818ed54d875741c5342db7dcca1822e2ffad

Aliases

arxiv: 1502.05963 · arxiv_version: 1502.05963v1 · doi: 10.48550/arxiv.1502.05963 · pith_short_12: YURTEVHMGC27 · pith_short_16: YURTEVHMGC27WXM6 · pith_short_8: YURTEVHM

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/YURTEVHMGC27WXM64BV4BLUBR3 \
  | 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: c5233254ec30b5fb5d9ee06bc0ae818ed54d875741c5342db7dcca1822e2ffad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7e145c0e83fe98855564cc8c09c31f5d71c87952ca5dae0d1ca4136356e69d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T18:21:26Z",
    "title_canon_sha256": "b847835cb7747ec123d56e005e7d19165df85147342cd0468ead7dacebeeb92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05963",
    "kind": "arxiv",
    "version": 1
  }
}