Pith Number

pith:M5TWJDJQ

pith:2020:M5TWJDJQOTMWQPRFWRQMF74VJW

not attested not anchored not stored refs pending

Rigidity of low index solutions on $S^3$ via a Frankel theorem for the Allen-Cahn equation

Fritz Hiesmayr

arxiv:2007.08701 v1 · 2020-07-17 · math.DG · 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{M5TWJDJQOTMWQPRFWRQMF74VJW}

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	2026-07-05T01:19:56.414287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6767648d3074d9683e25b460c2ff954d849cb59feb15d5109ec15477c89edeab

Aliases

arxiv: 2007.08701 · arxiv_version: 2007.08701v1 · doi: 10.48550/arxiv.2007.08701 · pith_short_12: M5TWJDJQOTMW · pith_short_16: M5TWJDJQOTMWQPRF · pith_short_8: M5TWJDJQ

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/M5TWJDJQOTMWQPRFWRQMF74VJW \
  | 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: 6767648d3074d9683e25b460c2ff954d849cb59feb15d5109ec15477c89edeab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fd3b3e18165c6a4db58a1c84e12a9adede38496f7fc86dc133240ebeb0c468",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-17T00:32:09Z",
    "title_canon_sha256": "b94488a729086fd81ec8d51b17d72bab6225942f7d490a92c93b9d9e36abdbf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08701",
    "kind": "arxiv",
    "version": 1
  }
}