Pith Number

pith:GMMHDYSH

pith:2017:GMMHDYSHIV3KEVXY5UP3LQ4T4G

not attested not anchored not stored refs pending

A rigidity result for effective Hamiltonians with $3$-mode periodic potentials

Hung V. Tran, Yifeng Yu

arxiv:1707.01804 v1 · 2017-07-06 · 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{GMMHDYSHIV3KEVXY5UP3LQ4T4G}

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	2026-05-18T00:40:47.395881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331871e2474576a256f8ed1fb5c393e185aa08059907163ac5b2674ec4b12aa6

Aliases

arxiv: 1707.01804 · arxiv_version: 1707.01804v1 · doi: 10.48550/arxiv.1707.01804 · pith_short_12: GMMHDYSHIV3K · pith_short_16: GMMHDYSHIV3KEVXY · pith_short_8: GMMHDYSH

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/GMMHDYSHIV3KEVXY5UP3LQ4T4G \
  | 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: 331871e2474576a256f8ed1fb5c393e185aa08059907163ac5b2674ec4b12aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa32a08cb3bac3d9a5b17a67b558013e7c4a0caabb8424b073bf461c602b8cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-06T14:12:41Z",
    "title_canon_sha256": "7c838ce5fb0e2e6f6151f7cdbd80c7d99a6c96273c3d4f258649713928db6b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01804",
    "kind": "arxiv",
    "version": 1
  }
}