Pith Number

pith:HJ2HUJVT

pith:2015:HJ2HUJVTOIXZ3SRE3GT6ZU5BEP

not attested not anchored not stored refs pending

Minimisers of the Allen-Cahn equation and the asymptotic Plateau problem on hyperbolic groups

Blaz Mramor

arxiv:1508.06751 v1 · 2015-08-27 · math.AP · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ2HUJVTOIXZ3SRE3GT6ZU5BEP}

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	2026-05-18T01:34:41.162021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a747a26b3722f9dca24d9a7ecd3a123c9ba0754e8f280f8f476da002c0871f7

Aliases

arxiv: 1508.06751 · arxiv_version: 1508.06751v1 · doi: 10.48550/arxiv.1508.06751 · pith_short_12: HJ2HUJVTOIXZ · pith_short_16: HJ2HUJVTOIXZ3SRE · pith_short_8: HJ2HUJVT

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/HJ2HUJVTOIXZ3SRE3GT6ZU5BEP \
  | 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: 3a747a26b3722f9dca24d9a7ecd3a123c9ba0754e8f280f8f476da002c0871f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b684eb6b23fcbeff0033c180e9b1d808bb0085e632bf4c4bdc5927b7d0a455fe",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-27T08:30:27Z",
    "title_canon_sha256": "6f877ebfb9c94090d2f7134bd2605ecb00c9e793a332c0f84778a9856318af71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06751",
    "kind": "arxiv",
    "version": 1
  }
}