Pith Number

pith:SHJRBDA5

pith:2019:SHJRBDA5TCX2BBC2IRIC5AZ45I

not attested not anchored not stored refs pending

Half space theorem for the Allen-Cahn equation and related problems

Francois Hamel, Juncheng Wei, Kelei Wang, Pieralberto Sicbaldi, Yong Liu

arxiv:1901.07671 v3 · 2019-01-23 · 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{SHJRBDA5TCX2BBC2IRIC5AZ45I}

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	2026-05-17T23:39:25.051994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d3108c1d98afa0845a44502e833cea02d76c0413009db37e18523b3d3e30dd

Aliases

arxiv: 1901.07671 · arxiv_version: 1901.07671v3 · doi: 10.48550/arxiv.1901.07671 · pith_short_12: SHJRBDA5TCX2 · pith_short_16: SHJRBDA5TCX2BBC2 · pith_short_8: SHJRBDA5

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/SHJRBDA5TCX2BBC2IRIC5AZ45I \
  | 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: 91d3108c1d98afa0845a44502e833cea02d76c0413009db37e18523b3d3e30dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f455f0780acd509724004fe157836bb5d61507f263d34924b7b8c1eeed60a7e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-23T00:58:49Z",
    "title_canon_sha256": "aaf7acd9ff56b10c09812d54a61226b5fdc4e5386fc09b29cd02c5569c4f4a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07671",
    "kind": "arxiv",
    "version": 3
  }
}